Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 9 (25 MCQs)

Quiz Instructions

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1. How many different 3-digit PIN codes can be formed using the digits 0-9 if repetition is allowed?
2. Out of 7 consonants and 4 vowels, how many words of 3 consonants and 2 vowels can be formed?
3. List the possible outcomes in the sample space for flipping a coin.
4. What is the value of 4! / (4-2)! * 2!?
5. What does the P stand for in $_{n}$P$_{r}$?
6. What is the value of 4C2?
7. The ski club with ten members is to choose three officers for captain, co-captain and secretary. How many ways can those offices be filled?
8. A group of 45 students are going to run a race. The top 3 runners earn gold, silver, and bronze medals. How many possibilities are there for these medals?
9. Michael is going to order his wife a bouquet for their anniversary. If Michael can choose 5 different flowers from a list of 8, how many bouquets are possible?
10. If you have 12 different books and want to select 5 to take on vacation, how many combinations can you choose?
11. In a Permutation, Order Matters.
12. The number of outfits you can make from 3 shorts and 5 shirts.
13. How would you solve?There are 125 juniors at the high school. How many ways can they elect a president, vice president, and secretary?
14. A menu has 6 different sandwiches, with 3 choices of potato chips, 3 types of salad and 5 different beverages. How many different lunch combinations consisting of a sandwich, chips and beverage can be ordered?
15. Permutation or Combination:A group of 14 people need to take an elevator to the top floor. They will go in groups of seven. They are deciding who will take the elevator on its second trip.
16. There are 10 buses running between Delhi and Agra. In how many ways can a man go from Delhi to Agra and return by a different bus?
17. Evaluate $_{7}$C$_{7}$
18. Find the number of ways of arranging 6 different encyclopedias on a shelf
19. Permutation, combination, or neither?Rob and Mary are planning trips to 9 countries this year. There are 13 countries they would like to visit. They are deciding which countries to skip.
20. Choosing 3 toppings for your sundae out of a list of 15.
21. How many ways can a stylist arrange 5 of 8 vases from left to right in a store display?
22. Is the order of arrangement important?A team of 17 volleyball players needs to select three players to refill the water cooler. How many different ways can the players be chosen?
23. There are 15 applicants for four jobs:Computer Programmer, Software Tester, Manager, and Systems Engineer.
24. When would you use permutation instead of combination?
25. You have a coupon for a free 3-topping pizza. If there are 15 total topping to choose from, how many different pizzas are possible?