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

A) 1,680

B) 3,360

C) 8,320

D) 10,080

**Answer: **A) 1,680

A) 12

B) 24

C) 48

D) 96

**Answer: **B) 24

A) 11

B) 17

C) 22

D) 31

**Answer: **C) 22

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) 15

B) 20

C) 60

D) 120

**Answer: **D) 120

A) 72

B) 144

C) 288

D) 576

**Answer: **B) 144

A) 60

B) 96

C) 120

D) 144

**Answer: **C) 120

A) 15

B) 30

C) 45

D) 60

**Answer: **C) 45

A) 156

B) 416

C) 2,652

D) 22,100

**Answer: **B) 416

A) 1,680

B) 3,360

C) 8,320

D) 10,080

**Answer: **A) 1,680

A) 12

B) 24

C) 48

D) 96

**Answer: **B) 24

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

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