Permutations and Combinations MCQ Test 1

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

2. In a group of 12 people, how many ways can you form a committee of 5 with specific roles assigned?

3. How many ways can you arrange the letters in the word 'OBSERVATION'?

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

5. If there are 7 students in a row, how many ways can they be arranged?

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

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

8. In how many ways can you arrange the letters in the word 'HETEROGENEOUS'?

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

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

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

12. How many ways can you choose 5 toppings from a list of 15 for your pizza with unique constraints on ingredient combinations?

13. How many ways can you arrange the letters in the word 'INNOVATION'?

14. In a deck of cards, how many ways can you choose two cards such that the first card is a black queen and the second card is a red king?

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

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

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

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

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

20. In how many ways can you arrange the letters in the word 'DIFFICULT'?

21. What is the formula for permutations in mathematics?

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

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

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

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

26. In a group of 6 people, how many ways can you form a committee of 2?

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

28. How many ways can you arrange the letters in the word 'APPLE'?

29. If there are 6 different gifts, how many ways can they be distributed to 3 children?

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

31. In a group of 6 people, how many ways can you form a committee of 4 with a chairperson and a secretary with specific constraints?

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

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

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

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

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

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

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

39. 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?

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

41. If there are 6 flavors of ice cream, how many ways can you choose 4 of them with no restrictions?

42. What is the formula for permutations with repetition in mathematics?

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

44. How many ways can you arrange the letters in the word 'IMPOSSIBLE'?

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

46. If there are 9 players on a baseball team, how many ways can you choose a captain and a vice-captain?

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

48. In a deck of cards, how many ways can you choose two cards such that the first card is a red queen and the second card is a black king?

49. If there are 8 players on a soccer team, how many ways can you choose a captain and a vice-captain?

50. If there are 6 people in a race, how many ways can they finish first, second, and third?