Quiz for Permutations and Combinations

Q1: How many ways can 5 different books be arranged on a shelf?

A. 60 B. 120 C. 240 D. 720

Q2: How many 3-digit numbers can be formed from the digits 1, 2, 3, 4, 5 without repetition?

A. 120 B. 60 C. 100 D. 90

Q3: How many ways can 4 boys and 3 girls be seated in a row such that all girls sit together?

A. 1440 B. 720 C. 2880 D. 4320

Q4: From 7 men and 5 women, how many ways can a committee of 3 men and 2 women be selected?

A. 350 B. 525 C. 210 D. 630

Q5: What is the number of permutations of the word "ENGINEER"?

A. 40320 B. 5040 C. 1680 D. 2520

Q6: How many ways can a president, vice president, and secretary be chosen from 10 people?

A. 720 B. 120 C. 1000 D. 504

Q7: How many combinations of 4 items can be chosen from 10?

A. 210 B. 120 C. 5040 D. 252

Q8: In how many ways can 3 boys be selected from 6?

A. 6 B. 18 C. 20 D. 15

Q9: In how many ways can 6 people be seated around a circular table?

A. 120 B. 720 C. 60 D. 480

Q10: What is 8C3?

A. 56 B. 84 C. 120 D. 28

Q11: How many ways can 4 letters be selected from the word “MATHEMATICS”?

A. 5040 B. 2520 C. 210 D. 120

Q12: How many ways to arrange letters of word "LEVEL"?

A. 60 B. 120 C. 30 D. 20

Q13: In how many ways can 2 boys and 2 girls be selected from 5 boys and 4 girls?

A. 60 B. 30 C. 40 D. 50

Q14: What is the number of ways to select 2 cards from a deck of 52 cards?

A. 1326 B. 2704 C. 104 D. 1200

Q15: How many 5-digit numbers can be formed using digits 1 to 5 without repetition?

A. 60 B. 120 C. 720 D. 100

Q16: How many words can be made using all letters of “SUCCESS”?

A. 5040 B. 2520 C. 420 D. 630

Q17: From 10 books, in how many ways can 2 be chosen?

A. 90 B. 45 C. 100 D. 120

Q18: In how many ways can a team of 5 students be formed from 8?

A. 56 B. 80 C. 120 D. 70

Q19: If repetition is allowed, how many 2-digit numbers can be formed from digits 1 to 5?

A. 20 B. 25 C. 10 D. 15

Q20: How many different 4-digit numbers can be formed using 1, 2, 3, 4 without repetition?

A. 24 B. 256 C. 120 D. 100

Q21: From a group of 12 people, how many committees of 3 can be formed?

A. 220 B. 132 C. 84 D. 144