Permutations and Combinations MCQ Test 2

1. How many ways can you choose 3 toppings from a list of 10 for your pizza?

2. If there are 6 players on a baseball team, how many ways can you choose a captain, vice-captain, and a treasurer with specific conditions?

3. How many ways can you arrange the digits 1, 2, 3, and 4 to form a four-digit number?

4. In a group of 15 people, how many different committees of 5 can be formed?

5. How many ways can you arrange the letters in the word 'UNBELIEVABLE'?

6. If there are 10 players on a soccer team, how many ways can you choose a captain and a vice-captain with specific criteria?

7. If there are 7 people in a race, how many ways can they finish first, second, and third with ties allowed?

8. If there are 4 different colors of balls, how many ways can you choose 2 of them?

9. In a group of 8 people, how many ways can you form a committee of 4?

10. If there are 9 people in a race, how many ways can they finish first, second, and third with specific restrictions?

11. In how many ways can you arrange the letters in the word 'WATER'?

12. How many ways can you choose 3 colors of socks from a drawer containing 8 different colors with specific exclusions?

13. If there are 5 colors of pens, how many ways can you choose 3 of them with no two colors the same?

14. In how many ways can you arrange the letters in the word 'PARALLEL'?

15. If there are 7 different colors of balls, how many ways can you choose 3 of them with specific restrictions?

16. In a group of 20 people, how many different committees of 8 can be formed with specific individuals included or excluded?

17. If there are 8 books on a shelf, how many ways can you arrange them with restrictions on the order of certain books?

18. If there are 3 hats and 4 scarves, how many ways can you choose one of each?

19. How many ways can you choose 4 books from a shelf of 12 with specific criteria for book categories?

20. What is the formula for combinations with repetition in mathematics?

21. How many ways can you arrange the letters in the word 'SYMBOL'?

22. If there are 6 different colors of balls, how many ways can you choose 3 of them with no two colors the same?

23. How many ways can you arrange the letters in the word 'EXAMINATION'?

24. How many ways can you choose 3 books from a shelf of 10 with at least one fiction book?

25. In a deck of cards, how many ways can you choose two cards?

26. If there are 10 students in a row, how many ways can they be arranged with specific constraints on the positions of two students?

27. How many ways can you arrange the letters in the word 'BASIC'?

28. In how many ways can you arrange the letters in the word 'DIFFICULTY'?

29. How many ways can you arrange the letters in the word 'INCOMPREHENSIBLE'?

30. If there are 5 books on a shelf, how many ways can you arrange them?

31. How many ways can you arrange the letters in the word 'FLOWER'?

32. In a group of 10 people, how many different committees of 3 can be formed?

33. How many ways can you arrange the letters in the word 'CAT'?

34. In a group of 5 people, how many ways can you form a committee of 3 with a chairperson and a secretary?

35. How many ways can you choose 2 books from a shelf of 5?

36. How many ways can you arrange the letters in the word 'DIFFERENT'?

37. If there are 7 colors of pens, how many ways can you choose 4 of them with specific conditions on color combinations?

38. In how many ways can you arrange the letters in the word 'QUIZ'?

39. If there are 6 students in a row, how many ways can they be arranged with constraints on the positions of two students?

40. If there are 4 colors of pens, how many ways can you choose 2 of them?