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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 13 (25 MCQs)

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1. Permutation, combination, or neither?A team of 17 softball players needs to choose three players to refill the water cooler.
2. Three-digit numbers are to be formed from the digits 0, 1, 2, 3, and 4 (excluding number which begins with 0). How many numbers can be formed when repetition is allowed.
3. How many different ways can you arrange the letters in the word 'MATH'?
4. There are six nickels and seven dimes in your pocket. You randomly pick a coin out of your pocket and then return it to your pocket. Then you randomly pick another coin. Both times the coin is a nickel.
5. How many 3-digit numbers can be formed by using the digits 1 to 9 if no digit is repeated
6. A shelf can hold 7 trophies. How many ways can the trophies be arranged if there are 10 trophies available?
7. A disc jockey has to choose three songs for the last few minutes of his evening show. If there are nine songs that he feels are appropriate for that time slot, then how many ways can he choose and arrange to play in order three of those nine songs?
8. Try something new:The questions on a multiple choice test each have 6 answer choices. Which model can be used to simulate randomly selecting the correct answer on a 20 question multiple choice test?
9. Find the number of different ways that a family of 9 can be seated around a circular table with 9 chairs.
10. If Jun has 12 T-shirts, 6pairs of pants, and 3 pairs of shoes, how many possibilities can he dress himself for the day?
11. The number of dinosaur models that a museum needs to make from 4 dinosaurs and 2 colors.
12. There are nine varieties of muffins available at the Coffee Shop. How many different ways can you choose three different muffins?
13. Picking your top three favorite prom dresses (in order).
14. Permutation, combination, or neither?A group of 45 people are going to run a race. The top three finishers will win a gold, silver or bronze medal, depending on what place they finish.
15. In how many different ways can the letters of the word 'LEADING' be arranged in such a way that the vowels always come together?
16. In an examination, candidates must select 2 questions from the 5 questions in section A and select 4 questions from the 8 questions in section B. Find the number of ways in which this can be done.
17. What is the value of 10! / (10-4)!?
18. $^{25}$C$_{1}$
19. Eight children are to be seated on a bench, how many arrangements are possible if the youngest child sits in a corner?
20. If you roll two six-sided dice, how many possible outcomes are there?
21. In how many ways can you select 3 cards from a standard deck of 52 cards?
22. The cafeteria has 2 choices of salads, 3 choices of entrees, and 2 choices of beverages. How many meal combinations are available and why?
23. Ahmad's school day consists of six classes. How many different ways can his schedule be arranged?
24. How many different ways can 3 prizes be awarded to 10 participants if each participant can win only one prize?
25. How would you solve? A book club offers a choice of 8 books from a list of 40. In how many ways can a member make a collection?
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