# Permutation Combination MCQs with Answers

In how many ways can the letters of the word “APPLE” be arranged?
A) 60
B) 120
C) 240
D) 720

A committee of 5 people is to be formed from a group of 8. How many different committees can be formed?
A) 8
B) 10
C) 56
D) 120

In how many ways can 3 boys and 4 girls be seated in a row if the boys and girls are to alternate?
A) 24
B) 48
C) 144
D) 288

How many 3-digit numbers can be formed using the digits 1, 2, 3, and 4 without repetition?
A) 6
B) 12
C) 18
D) 24

A group of 7 people consists of 4 men and 3 women. In how many ways can a committee of 3 people be formed if it must have at least one man and one woman?
A) 10
B) 12
C) 14
D) 16

How many different 5-card hands can be dealt from a standard deck of 52 cards?
A) 260
B) 1,040
C) 2,600
D) 3,120

In how many ways can the letters of the word “MISSISSIPPI” be arranged?
A) 346,500
B) 720,720
C) 1,054,560
D) 4,556,880

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 24
B) 48
C) 120
D) 240

A box contains 6 red balls, 4 green balls, and 5 blue balls. In how many ways can 3 balls be drawn from the box, if at least one ball must be red?
A) 71
B) 91
C) 101
D) 121

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 600
B) 720
C) 1,200
D) 1,440

In how many ways can 5 books be arranged on a shelf?
A) 60
B) 120
C) 240
D) 720

A committee of 4 people is to be formed from a group of 7. How many different committees can be formed?
A) 7
B) 10
C) 35
D) 210

In how many ways can 4 boys and 3 girls be seated in a row if the boys and girls must sit together?
A) 48
B) 72
C) 144
D) 288

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 24
B) 48
C) 60
D) 120

A group of 6 people consists of 3 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 15
B) 30
C) 45
D) 60

How many different 3-card hands can be dealt from a standard deck of 52 cards?
A) 156
B) 416
C) 2,652
D) 22,100

In how many ways can the letters of the word “SUCCESS” be arranged?
A) 1,680
B) 3,360
C) 8,320
D) 10,080

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 12
B) 24
C) 48
D) 96

A box contains 5 red balls, 4 green balls, and 3 blue balls. In how many ways can 2 balls be drawn from the box, if at least one ball must be red?
A) 11
B) 17
C) 22
D) 31

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 720
B) 1,200
C) 1,440
D) 1,800

In how many ways can 6 books be arranged on a shelf?
A) 360
B) 720
C) 1,080
D) 2,160

A committee of 3 people is to be formed from a group of 6. How many different committees can be formed?
A) 15
B) 20
C) 60
D) 120

In how many ways can 3 boys and 3 girls be seated in a row if the boys and girls alternate?
A) 72
B) 144
C) 288
D) 576

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 60
B) 96
C) 120
D) 144

A group of 5 people consists of 2 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 15
B) 30
C) 45
D) 60

How many different 4-card hands can be dealt from a standard deck of 52 cards?
A) 156
B) 416
C) 2,652
D) 22,100

In how many ways can the letters of the word “SUCCESS” be arranged?
A) 1,680
B) 3,360
C) 8,320
D) 10,080

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 12
B) 24
C) 48
D) 96

A box contains 5 red balls, 4 green balls, and 3 blue balls. In how many ways can 2 balls be drawn from the box, if at least one ball must be red?
A) 11
B) 17
C) 22
D) 31

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 720
B) 1,200
C) 1,440
D) 1,800

In how many ways can 6 books be arranged on a shelf?
A) 360
B) 720
C) 1,080
D) 2,160

A committee of 3 people is to be formed from a group of 6. How many different committees can be formed?
A) 15
B) 20
C) 60
D) 120

In how many ways can 3 boys and 3 girls be seated in a row if the boys and girls alternate?
A) 72
B) 144
C) 288
D) 576

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 60
B) 96
C) 120
D) 144

A group of 5 people consists of 2 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 15
B) 30
C) 45
D) 60

How many different 4-card hands can be dealt from a standard deck of 52 cards?
A) 156
B) 416
C) 2,652
D) 22,100

In how many ways can the letters of the word “SUCCESS” be arranged?
A) 1,680
B) 3,360
C) 8,320
D) 10,080

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 12
B) 24
C) 48
D) 96

A box contains 5 red balls, 4 green balls, and 3 blue balls. In how many ways can 2 balls be drawn from the box, if at least one ball must be red?
A) 11
B) 17
C) 22
D) 31

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 720
B) 1,200
C) 1,440
D) 1,800

In how many ways can 6 books be arranged on a shelf?
A) 360
B) 720
C) 1,080
D) 2,160

A committee of 3 people is to be formed from a group of 6. How many different committees can be formed?
A) 15
B) 20
C) 60
D) 120

In how many ways can 3 boys and 3 girls be seated in a row if the boys and girls alternate?
A) 72
B) 144
C) 288
D) 576

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 60
B) 96
C) 120
D) 144

A group of 5 people consists of 2 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 15
B) 30
C) 45
D) 60

How many different 4-card hands can be dealt from a standard deck of 52 cards?
A) 156
B) 416
C) 2,652
D) 22,100

In how many ways can the letters of the word “SUCCESS” be arranged?
A) 1,680
B) 3,360
C) 8,320
D) 10,080

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 12
B) 24
C) 48
D) 96

A box contains 5 red balls, 4 green balls, and 3 blue balls. In how many ways can 2 balls be drawn from the box, if at least one ball must be red?
A) 11
B) 17
C) 22
D) 31

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 720
B) 1,200
C) 1,440
D) 1,800

In how many ways can 6 books be arranged on a shelf?
A) 360
B) 720
C) 1,080
D) 2,160

A committee of 3 people is to be formed from a group of 6. How many different committees can be formed?
A) 15
B) 20
C) 60
D) 120

In how many ways can 3 boys and 3 girls be seated in a row if the boys and girls alternate?
A) 72
B) 144
C) 288
D) 576

How many 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 60
B) 96
C) 120
D) 144

A group of 5 people consists of 2 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 15
B) 30
C) 45
D) 60

How many different 4-card hands can be dealt from a standard deck of 52 cards?
A) 156
B) 416
C) 2,652
D) 22,100

In how many ways can the letters of the word “SUCCESS” be arranged?
A) 1,680
B) 3,360
C) 8,320
D) 10,080

How many 4-letter words can be formed using the letters of the word “APPLE”?
A) 12
B) 24
C) 48
D) 96

A box contains 5 red balls, 4 green balls, and 3 blue balls. In how many ways can 2 balls be drawn from the box, if at least one ball must be red?
A) 11
B) 17
C) 22
D) 31

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, and 9 without repetition?
A) 90,720
B) 120,960
C) 151,200
D) 181,440

In how many ways can 7 books be arranged on a shelf?
A) 5040
B) 7200
C) 10080
D) 12600

A committee of 4 people is to be formed from a group of 8. How many different committees can be formed?
A) 70
B) 120
C) 210
D) 280

In how many ways can 4 boys and 4 girls be seated in a row if the boys and girls alternate?
A) 576
B) 1152
C) 2304
D) 4608

How many 4-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
A) 96
B) 120
C) 144
D) 180

A group of 6 people consists of 3 men and 3 women. In how many ways can a committee of 2 men and 2 women be formed?
A) 45
B) 90
C) 135
D) 180

How many different 5-card hands can be dealt from a standard deck of 52 cards?
A) 2,598,960
B) 2,598,960
C) 3,939,960
D) 4,752,960

In how many ways can the letters of the word “COMPUTER” be arranged?
A) 362,880
B) 725,760
C) 1,088,640
D) 2,177,280

How many 5-letter words can be formed using the letters of the word “BANANA”?
A) 60
B) 120
C) 240
D) 480

A box contains 6 red balls, 5 green balls, and 4 blue balls. In how many ways can 3 balls be drawn from the box, if at least one ball must be red?
A) 108
B) 150
C) 174
D) 204

How many 6-digit numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7, 8, 9, and 0 without repetition?
A) 326,592
B) 725,760
C) 907,200
D) 1,088,640

In how many ways can 8 books be arranged on a shelf?
A) 40,320
B) 80,640
C) 161,280
D) 322,560

A committee of 5 people is to be formed from a group of 10. How many different committees can be formed?
A) 42
B) 70
C) 210
D) 252

In how many ways can 5 boys and 5 girls be seated in a row if the boys and girls alternate?
A) 28,800
B) 57,600
C) 115,200
D) 230,400

How many 5-digit numbers can be formed using the digits 1, 2, 3, 4, 5, and 6 without repetition?
A) 720
B) 1,200
C) 1,440
D) 1,800