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

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1. Solve the following permutation:Jacob and Eugene are planning trips to four countries this year. There are 14 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.
2. Selecting which seven players will be in the batting order on an 11 person team. Is this a permutation or a combination?
3. The number of 6-digit numbers, all digits of which are odd is .....
4. How many 3-digit numbers are there whose digits are all prime numbers?
5. What is the probability of getting exactly two heads in four flips of a fair coin?
6. Student council needs to form a group of 5 members to help with a blood drive. How many groups can be formed from the 20 members?
7. If a team of 4 players is to be chosen from a group of 8 players, how many different teams can be formed?
8. If repetition is not allowed then how many distinct three-digit numbers can be formed using the digits (1, 2, 3, 4, 5)?
9. Permutation, combination, or neither?A team of 15 basketball players needs to choose a captain and a co-captain
10. A team of ball-pickers in a tennis match consists of 6 students. The team is to be selected from a group of 9 boys and 4 girls.Find the number of teams that can be formed if each team consist of not more than 3 girls.
11. There are 4 black, 5 red and 6 green balls. We have to select 3 balls. In how many different ways we can selecti)All balls of different colours
12. Solve the following permutation:The student body of 40 students wants to elect a president, vice president, secretary, and treasurer.
13. If a committee of 4 is to be formed from 10 people, how many different committees can be formed?
14. How many ways can you choose 2 ice cream flavors from a choice of 5 flavors?
15. 5 different roads from city A to city B and 5 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B?
16. The ..... of a positive integer n is the product of the positive integers less than or equal to n, and is written as n!
17. Calculate the number of ways to arrange 9 books of different tittles on a book rack.
18. 5 out of 13 students will ride in a car instead of a van
19. A club must choose a president and a vice president. If the team has 14 members, how many ways could the officers be chosen?
20. $^{20}$C$_{18}$
21. In how many ways can a 4-member relay team be selected from a group of 8 athletes?
22. When the objects in a sample space are arranged so that order is important, each possible arrangement is called a:
23. How would you solve?How many ways can you line up your eight trophies that you've won over the years on a shelf in your room?
24. A coin is flipped 3 times. If you get tails once you get $ 5, tails twice you get $ 15, and tails on all three flips you get $ 40. What is the expected amount of money you will get?
25. The number of parallelograms that can be formed from a set of four parallel lines intersecting another set of three parallel lines is
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