Combination MCQs are very important test and often asked by various testing services and competitive exams around the world. Here you will find all the Important Combination MCQs for Preparation.

The student can clear their concepts for Combination online quiz by attempting it. Doing MCQs based Combination will help you to check your understanding and identify areas of improvement.

## Combination Online MCQs with Answers

In how many ways can a committee of 3 members be chosen from a group of 10 people?
a) 20
b) 30
c) 90
d) 120

b) 30

A group of 6 people is to be divided into two teams of equal size. In how many ways can this be done?
a) 6
b) 9
c) 12
d) 15

d) 15

How many different three-letter words can be formed using the letters A, B, C, and D without repetition?
a) 6
b) 12
c) 24
d) 48

c) 24

In a group of 8 friends, how many different pairs can be formed?
a) 8
b) 12
c) 16
d) 28

d) 28

A box contains 5 red balls, 4 blue balls, and 3 green balls. In how many ways can 2 balls be selected from the box if one ball must be red and the other ball must be green?
a) 8
b) 12
c) 15
d) 20

c) 15

How many different 5-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
a) 60
b) 120
c) 240
d) 360

b) 120

A committee of 4 people is to be chosen from a group of 10 men and 6 women. In how many ways can this be done if at least 2 men must be on the committee?
a) 240
b) 360
c) 480
d) 600

d) 600

How many different ways can the letters of the word “COMBINE” be arranged?
a) 5040
b) 720
c) 120
d) 60

a) 5040

In how many ways can the first, second, and third places be awarded in a race with 8 participants?
a) 336
b) 504
c) 720
d) 1008

c) 720

A committee of 2 people is to be formed from a group of 5 men and 4 women. In how many ways can this be done if at least one man must be on the committee?
a) 18
b) 20
c) 23
d) 25

b) 20

In a deck of 52 playing cards, how many different 5-card hands can be formed?
a) 259,896
b) 2,598,960
c) 5,108,416
d) 10,200,000

b) 2,598,960

How many different ways can a committee of 5 people be chosen from a group of 12?
a) 792
b) 1,024
c) 2,520
d) 7,056

a) 792

A bag contains 8 red balls and 6 blue balls. In how many ways can 3 balls be selected from the bag if at least 2 of them are red?
a) 96
b) 144
c) 192
d) 216

d) 216

How many different 4-letter words can be formed using the letters A, B, C, D, E, and F without repetition?
a) 72
b) 120
c) 144
d) 720

b) 120

In how many ways can the letters of the word “ALGEBRA” be arranged?
a) 5040
b) 720
c) 120
d) 60

a) 5040

How many different ways can a committee of 3 people be chosen from a group of 8 men and 5 women?
a) 56
b) 84
c) 128
d) 165

b) 84

In how many ways can the first, second, and third places be awarded in a race with 10 participants?
a) 720
b) 1,080
c) 1,620
d) 3,628

a) 720

A committee of 4 people is to be formed from a group of 8 men and 6 women. In how many ways can this be done if there must be at least 2 women on the committee?
a) 132
b) 184
c) 216
d) 264

d) 264

How many different 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, and 5 without repetition?
a) 120
b) 360
c) 720
d) 1,080

c) 720

A committee of 3 people is to be chosen from a group of 10 men and 8 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 280
b) 360
c) 440
d) 520

d) 520

In how many ways can the letters of the word “MISSISSIPPI” be arranged?
a) 346,104
b) 907,200
c) 1,255,200
d) 2,670,320

d) 2,670,320

How many different ways can a committee of 5 people be chosen from a group of 10 men and 7 women?
a) 100
b) 250
c) 350
d) 700

d) 700

A bag contains 10 red balls and 7 blue balls. In how many ways can 4 balls be selected from the bag if at least 2 of them are red?
a) 105
b) 175
c) 245
d) 315

b) 175

How many different 5-letter words can be formed using the letters A, A, B, C, D, and E without repetition?
a) 60
b) 120
c) 180
d) 360

c) 180

In how many ways can the letters of the word “MATHEMATICS” be arranged?
a) 362,880
b) 725,760
c) 1,088,640
d) 2,177,280

a) 362,880

How many different ways can a committee of 4 people be chosen from a group of 12 men and 8 women?
a) 280
b) 330
c) 495
d) 660

d) 660

In how many ways can the first, second, and third places be awarded in a race with 12 participants?
a) 1,320
b) 1,980
c) 2,640
d) 3,960

d) 3,960

A committee of 5 people is to be formed from a group of 9 men and 6 women. In how many ways can this be done if there must be at least 3 men on the committee?
a) 252
b) 336
c) 420
d) 504

d) 504

How many different 7-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, and 7 without repetition?
a) 5,040
b) 30,240
c) 60,480
d) 120,960

d) 120,960

A committee of 4 people is to be chosen from a group of 7 men and 5 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 175
b) 245
c) 315
d) 385

d) 385

In how many ways can a committee of 3 people be chosen from a group of 5 men and 4 women if at least one man and one woman must be on the committee?
a) 20
b) 30
c) 40
d) 50

b) 30

How many different ways can the letters of the word “APPLE” be arranged?
a) 60
b) 120
c) 240
d) 720

b) 120

In how many ways can a committee of 2 people be formed from a group of 6 men and 4 women if the committee must have one man and one woman?
a) 16
b) 20
c) 24
d) 30

c) 24

How many different ways can the letters of the word “COMPUTER” be arranged?
a) 40,320
b) 80,640
c) 161,280
d) 322,560

a) 40,320

A committee of 4 people is to be formed from a group of 9 men and 7 women. In how many ways can this be done if the committee must have at least 2 men and 2 women?
a) 1,260
b) 1,680
c) 2,520
d) 3,360

b) 1,680

In how many ways can a committee of 3 people be chosen from a group of 6 men and 5 women if at least two men must be on the committee?
a) 66
b) 90
c) 110
d) 132

d) 132

How many different ways can the letters of the word “EQUATION” be arranged?
a) 7,200
b) 8,640
c) 10,080
d) 12,960

a) 7,200

A committee of 5 people is to be chosen from a group of 8 men and 6 women. In how many ways can this be done if there must be at least 3 men on the committee?
a) 280
b) 336
c) 420
d) 504

d) 504

In how many ways can the first, second, and third places be awarded in a race with 10 participants if ties are not allowed?
a) 720
b) 1,080
c) 1,620
d) 3,628

c) 1,620

How many different 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition?
a) 120
b) 360
c) 720
d) 1,080

c) 720

A committee of 3 people is to be chosen from a group of 7 men and 5 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 105
b) 140
c) 175
d) 210

c) 175

In how many ways can the letters of the word “SUCCESS” be arranged?
a) 5040
b) 720
c) 360
d) 120

a) 5040

How many different ways can a committee of 4 people be chosen from a group of 10 men and 7 women?
a) 210
b) 330
c) 420
d) 540

b) 330

In how many ways can the first, second, and third places be awarded in a race with 12 participants if ties are not allowed?
a) 1,320
b) 1,980
c) 2,640
d) 3,960

a) 1,320

A committee of 4 people is to be formed from a group of 8 men and 6 women. In how many ways can this be done if there must be at least 2 men and 2 women on the committee?
a) 112
b) 224
c) 336
d) 448

b) 224

How many different 7-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 without repetition?
a) 5,040
b) 30,240
c) 60,480
d) 120,960

b) 30,240

A committee of 3 people is to be chosen from a group of 6 men and 5 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 115
b) 130
c) 145
d) 160

c) 145

In how many ways can the letters of the word “SCHOOL” be arranged?
a) 720
b) 1,080
c) 1,620
d) 3,628

a) 720

How many different ways can a committee of 4 people be chosen from a group of 8 men and 6 women if there must be at least 2 men on the committee?
a) 196
b) 252
c) 308
d) 392

b) 252

In how many ways can a committee of 5 people be formed from a group of 12 men and 8 women if there must be at least 2 men and 2 women on the committee?
a) 3,960
b) 4,320
c) 4,720
d) 5,080

c) 4,720

How many different ways can the letters of the word “ENGINEER” be arranged?
a) 40,320
b) 80,640
c) 161,280
d) 322,560

a) 40,320

A committee of 4 people is to be formed from a group of 8 men and 6 women. In how many ways can this be done if there must be at least 3 men on the committee?
a) 140
b) 210
c) 280
d) 350

c) 280

In how many ways can the first, second, and third places be awarded in a race with 10 participants if ties are not allowed?
a) 720
b) 1,080
c) 1,620
d) 3,628

c) 1,620

How many different 6-digit numbers can be formed using the digits 0, 1, 2, 3, 4, 5 without repetition?
a) 120
b) 360
c) 720
d) 1,080

c) 720

A committee of 3 people is to be chosen from a group of 10 men and 7 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 280
b) 360
c) 440
d) 520

d) 520

In how many ways can the letters of the word “MISSISSIPPI” be arranged?
a) 346,104
b) 907,200
c) 1,255,200
d) 2,670,320

d) 2,670,320

How many different ways can a committee of 5 people be chosen from a group of 10 men and 7 women?
a) 100
b) 250
c) 350
d) 700

d) 700

A bag contains 10 red balls and 7 blue balls. In how many ways can 4 balls be selected from the bag if at least 2 of them are red?
a) 105
b) 175
c) 245
d) 315

b) 175

How many different 5-letter words can be formed using the letters A, A, B, C, D, and E without repetition?
a) 60
b) 120
c) 180
d) 360

c) 180

In how many ways can the letters of the word “MATHEMATICS” be arranged?
a) 362,880
b) 725,760
c) 1,088,640
d) 2,177,280

a) 362,880

How many different ways can a committee of 4 people be chosen from a group of 12 men and 8 women?
a) 280
b) 330
c) 495
d) 660

d) 660

In how many ways can the first, second, and third places be awarded in a race with 12 participants?
a) 1,320
b) 1,980
c) 2,640
d) 3,960

d) 3,960

A committee of 5 people is to be formed from a group of 9 men and 6 women. In how many ways can this be done if there must be at least 3 men on the committee?
a) 252
b) 336
c) 420
d) 504

d) 504

How many different 7-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, and 7 without repetition?
a) 5,040
b) 30,240
c) 60,480
d) 120,960

d) 120,960

A committee of 4 people is to be chosen from a group of 7 men and 5 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 175
b) 245
c) 315
d) 385

d) 385

In how many ways can the letters of the word “BOOKKEEPER” be arranged?
a) 362,880
b) 725,760
c) 1,088,640
d) 2,177,280

b) 725,760

How many different ways can a committee of 4 people be chosen from a group of 10 men and 6 women if at least 2 men and 2 women must be on the committee?
a) 240
b) 360
c) 480
d) 600

c) 480

In how many ways can the first, second, and third places be awarded in a race with 9 participants if ties are not allowed?
a) 504
b) 720
c) 1,080
d) 1,512

c) 1,080

A committee of 5 people is to be formed from a group of 8 men and 7 women. In how many ways can this be done if there must be at least 3 men and 2 women on the committee?
a) 280
b) 560
c) 840
d) 1,120

d) 1,120

How many different 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5 without repetition?
a) 60
b) 120
c) 240
d) 480

d) 480

A committee of 3 people is to be chosen from a group of 9 men and 6 women. In how many ways can this be done if the committee must have at least one man and one woman?
a) 225
b) 315
c) 405
d) 495

b) 315

In how many ways can the letters of the word “STATISTICS” be arranged?
a) 362,880
b) 725,760
c) 1,088,640
d) 2,177,280