Q1: 1. In how many ways can a committee of 5 members be formed from a group of 10 people?

• A) 50
• B) 25
• C) 120
• D) 252

Q2: 2. How many ways can the letters of the word "MATH" be rearranged?

• A) 6
• B) 12
• C) 24
• D) 36

Q3: 3. If you have 5 different books and you want to arrange them on a bookshelf, how many ways can you do it?

• A) 20
• B) 60
• C) 120
• D) 240

Q4: 4. How many ways can you choose 3 different fruits from a basket containing 6 different types of fruits?

• A) 12
• B) 20
• C) 60
• D) 120

Q5: 5. If there are 7 people in line to buy tickets for a concert, how many ways can they be arranged in a line?

• A) 21
• B) 42
• C) 84
• D) 120

Q6: 6. How many ways can you choose a president, vice president, and secretary from a group of 10 people?

• A) 120
• B) 180
• C) 720
• D) 7200

Q7: 7. If a lock has 4 digits and each digit can be 0-9, how many different combinations are possible?

• A) 36
• B) 64
• C) 256
• D) 10000

Q8: 8. How many ways can the letters of the word "APPLE" be arranged?

• A) 60
• B) 120
• C) 240
• D) 720

Q9: 9. If there are 5 red balls, 3 blue balls, and 2 green balls in a bag, how many ways can you choose 4 balls?

• A) 20
• B) 60
• C) 120
• D) 252

Q10: 10. A pizza place offers 5 different toppings. How many ways can you choose a pizza with 3 different toppings?

• A) 10
• B) 20
• C) 60
• D) 120

Q11: 11. How many ways can you arrange the letters in the word "COMBINE"?

• A) 5040
• B) 720
• C) 120
• D) 252

Q12: 12. If a team of 4 students needs to be formed from a group of 8 students, how many ways can this be done?

• A) 70
• B) 120
• C) 168
• D) 280

Q13: 13. How many ways can you choose a committee of 2 boys and 3 girls from a group of 5 boys and 4 girls?

• A) 10
• B) 20
• C) 30
• D) 40

Q14: 14. If there are 6 books on a shelf and you want to arrange them so that two particular books are always together, how many ways can you do this?

• A) 120
• B) 240
• C) 360
• D) 720

Q15: 15. How many ways can you choose 4 cards from a standard deck of 52 cards?

• A) 208
• B) 2704
• C) 270725
• D) 270725

Q16: 16. If there are 3 red balls, 2 blue balls, and 4 green balls in a box, how many ways can you choose 2 balls of different colors?

• A) 24
• B) 36
• C) 48
• D) 72

Q17: 17. How many ways can you arrange the letters in the word "CROSS"?

• A) 60
• B) 120
• C) 240
• D) 720

Q18: 18. A committee of 4 members needs to be formed from a group of 6 men and 5 women. How many ways can this be done if the committee must have at least 2 women?

• A) 95
• B) 120
• C) 150
• D) 180

Q19: 19. If there are 8 different books on a shelf, how many ways can you choose 3 books to display on a table?

• A) 56
• B) 84
• C) 112
• D) 168

Q20: 20. How many ways can you arrange the letters in the word "BANANA"?

• A) 120
• B) 240
• C) 360
• D) 720

Q21: 21. If there are 4 red balls, 3 blue balls, and 2 green balls in a bag, how many ways can you choose 3 balls?

• A) 24
• B) 36
• C) 48
• D) 72

Q22: 22. How many ways can you arrange the letters in the word "TENNIS"?

• A) 720
• B) 1440
• C) 2520
• D) 5040

Q23: 23. A committee of 3 members needs to be formed from a group of 8 people. How many ways can this be done?

• A) 56
• B) 84
• C) 112
• D) 168

Q24: 24. If there are 5 different colors of pens and you want to choose 2 pens, how many ways can you do this?

• A) 8
• B) 10
• C) 15
• D) 20

Q25: 25. How many ways can you arrange the letters in the word "HELLO"?

• A) 60
• B) 120
• C) 240
• D) 720