Permutations and Combinations MCQ Test 4

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

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

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

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

5. In a group of 10 people, how many ways can you form a committee of 4 with a designated chairperson?

6. What is the formula for combinations in mathematics?

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

8. In a deck of cards, how many ways can you choose two cards such that both cards are queens or both cards are kings with specific conditions?

9. How many ways can you arrange the digits 1, 2, 3, 4, and 5 to form a five-digit number with odd digits in odd places and even digits in even places?

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

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

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

13. How many ways can you choose 4 toppings from a list of 12 for your pizza with at least one meat topping?

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

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

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

17. In a deck of cards, how many ways can you choose a red card and a face card?

18. In a deck of cards, how many ways can you choose two cards such that both cards are aces or both cards are kings?

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

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