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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 3 (25 MCQs)

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1. There are ten toppings available to make an ice cream sundae. How many ways can Lala choose two?
2. A Permutation is a way in which a set or number of things can be ordered or arranged, where .....
3. A committee of 6 members is to be selected from 5 men and 9 women. Find the number of different committees that could be selected ifthere is at least 1 man on the committee.
4. In how many ways can a committee of 3 people be selected from a group of 10 people?
5. A committee consisting of 7 people is to be selected from 6 teachers, 5 parents and 3 school principals.Calculate the number ways of forming the committee if there are no restrictions.
6. The number of words you can make from the Scrabble tiles M, A, T, H.
7. You put 5 names into a hat, they are:John, Jill, Jack, Justin, and Jeremy. What is the probability of you pulling Jack and Jill?
8. In how many ways can a coach choose three swimmers from among five swimmers?
9. You are dealt 5 cards from a standard deck of playing cards. What is the probability you are dealt a flush? **A flush is all 5 cards of the same suit (order does not matter).
10. If P(22, r+1):P(20, r+2) = 11:52, find r.
11. A team of 5 is to be formed from 8 men and 7 women. How many ways can the team be formed if it must consist of 3 men and 2 women?
12. How many ways can two jellybeans be chosen from a bag of 15 unique jellybeans.
13. In how many ways can the letters of the woed 'HONESTY' be arranged?
14. A four-unit passcode is created by choosing two digits and then two letters. How many unique passcodes exist if no number or letter can be repeated?
15. Sarah and Joe are planning trips to three countries this year. There are 7 countries they would like to visit. One trip will be one week long, another two days, and the last one two weeks. How many possibilities are there for their vacation?
16. Evaluate. $\\\_{15}P_3$
17. How many ways can 6 bicycles be parked in a row?
18. For the word MAGIC how many different types of arrangement are possible so that the vowels are always together?
19. How many ways can you listen to 3 songs from a CD that has 12 selections?
20. Eva flips a coin. If she gets heads, she wins $ 4. If she gets tails, she loses $ 3. What is her expected value of a coin flip?
21. Permutation, combination, or neither?The student body of ten students wants to elect apresident, vice president, secretary, and treasurer.
22. A DJ 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 three of those nine songs?Is this a Permutation or Combination?
23. What is the value of $5!$
24. How would you solve?The model of car you are thinking of purchasing is available in nine different colors, three different styles and two sizes of motor. How many ways can you order the car?
25. Find the number of distinct four-letter combinations that can be formed from the letters of the word MATH?
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