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
Answer: B) 120

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
Answer: C) 56

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
Answer: C) 144

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
Answer: 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
Answer: C) 14

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
Answer: 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
Answer: C) 1,054,560

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

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
Answer: A) 71

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
Answer: D) 1,440

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

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
Answer: C) 35

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
Answer: C) 144

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
Answer: 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
Answer: C) 45

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
Answer: A) 156

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
Answer: A) 1,680

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

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
Answer: C) 22

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
Answer: C) 1,440

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

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
Answer: 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
Answer: B) 144

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
Answer: C) 120

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
Answer: C) 45

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
Answer: B) 416

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
Answer: A) 1,680

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

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
Answer: C) 22

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
Answer: C) 1,440

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

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
Answer: 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
Answer: B) 144

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
Answer: C) 120

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
Answer: C) 45

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
Answer: B) 416

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
Answer: A) 1,680

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

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
Answer: C) 22

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
Answer: C) 1,440

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

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
Answer: 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
Answer: B) 144

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
Answer: C) 120

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
Answer: C) 45

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
Answer: B) 416

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
Answer: A) 1,680

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

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
Answer: C) 22

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
Answer: C) 1,440

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

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
Answer: 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
Answer: B) 144

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
Answer: C) 120

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
Answer: C) 45

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
Answer: B) 416

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
Answer: A) 1,680

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

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
Answer: C) 22

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
Answer: C) 151,200

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

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
Answer: C) 210

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
Answer: B) 1152

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
Answer: B) 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) 45
B) 90
C) 135
D) 180
Answer: A) 45

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
Answer: A) 2,598,960

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
Answer: A) 362,880

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

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
Answer: 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
Answer: C) 907,200

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

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
Answer: 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
Answer: C) 115,200

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
Answer: C) 1,440

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
Answer: A) 45

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