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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 19 (25 MCQs)

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1. There are 14 candy bars for sale. How many ways can Andy choose five of them?
2. At Papa John's you are deciding on what you want for dinner. The pizza offers 8 different meats, 4 different cheeses, 3 different crust types and 2 different sauces. Each pizza can only have 1 meat, 1 cheese, 1 crust, and 1 sauce. How many different pizzas do you have to choose from?
3. Grant has five pairs of pants, nine shirts, and six ties. How many different outfits can he make consisting of one pair of pants, one shirt, and one tie?
4. Rob and Mary are planning trips to nine countries this year. They are deciding which countries to skip. Is this a permutation or a combination?
5. Evaluate $\frac{8!}{4!}$
6. If a class has 12 students, in how many ways can a president, vice-president, and secretary be chosen?
7. What is the probability of choosing 2 female senators if there are 19 female senators and 81 male senators?
8. When order is not important, we use $n_{C_r}$
9. A committee of four is to be selected from 7 men and 5 women. A brother and sister, Ken and Betty, are among the 7 men and 5 women. Find how many different committees of four could be selected so that there are two male and two female members which must include either Ken or Betty but not both.
10. When does the order in which you are choose not matter?
11. In how many ways can the letters of the word BALLOON be arranged such that the two L's are together?
12. Let us suppose we have 12 adults and 10 kids as an audience of a certain show. Find the number of ways the host can select three persons from the audiences to volunteer. The choice must contain two kids and one adult.
13. How many distinct words can be formed using the word MINIMUM?
14. Find how many 4-digit odd numbers and less than 3000 that can be obtained from the digits:1, 2, 3, 4, 5, 6, and 7.
15. In how many ways can 5 books be arranged on a shelf?
16. Find the total number of outcomes for picking a day of the week and a month of the year.
17. How many different selections of 6 books can be made from 11 different books, if two particular books are always selected?
18. How many ways can 5 persons seat if there are 10 vacant seats in a van?
19. You are setting the combination on a three-digit lock. You want to use the numbers 123 but don't care what order they are in. How many possible combinations are there?
20. . There are 4 black, 5 red and 6 green balls. We have to select 3 balls. In how many different ways we can select atleast one red ball.
21. How many different groups of 6 children can be chosen from a class of 18 children if the class contains one set of twins who must not be separated?
22. Permutation or Combination:Willie and Paul are planning trips to two countries this year. There are 10 countries they would like to visit. One trip will be one week long and the other two weeks.
23. What is the number of arrangements of the letters in the word 'MARCH' where the repetition of letters is not allowed?
24. $_{6}$P$_{3}$
25. Permutation, combination, or neither?Rob and Mary are planning trips to nine countries thisyear. There are 13 countries they would like to visit andare deciding which countries to skip.
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