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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 12 (25 MCQs)

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1. For a segment of a radio show, a disc jockey can play 7 songs. If there are 12 songs to select from, in how many ways can the program for this segment be arranged?
2. There are 15 racers running a race. There are medals for the first three racers to cross the finish line. How many ways are there to award medals to the first three racers?Is this a Permutation or a Combination?
3. How many ways can six friends sit at the movies if Hana and Sarra want to sit together?
4. A sample of 3 bulbs is tested. A bulb is labelled as G if it is good and D if it is defective. Find the number of all possible outcomes.
5. In how many ways can you fill in a lottery ticket if you have to mark 6 numbers out of 45?
6. The starting lineup on a basketball team consists of a point guard, shooting guard, small forward, power forward and center. Assuming everyone on the team is capable of playing at each position, how many different starting lineups can be created from a 12-man roster?
7. How many ways can I arrange the letters in the word GOOGLE to make a new (nonsense) word?
8. How many ways can you choose a manager and assistant from a 9-person task force?
9. How many unique "words" can be made from all the letters in SPARTANS?
10. How many chords can be drawn through 15 points on a circle?
11. A student has 6 different books and wants to lend 3 of them to a friend. In how many ways can the student choose the books to lend?
12. If three alphabets are to be chosen from A, B, C, D and E such that repetition is not allowed then in how many ways it can be done?
13. You have 8 classes to take next year. In how many different ways can you arrange these 8 classes?
14. Lloyd and five friends go to a movie. In how many different ways can they sit together in a row of 6 empty seats?
15. In how many ways a committee of 4 members be selectedfrom 5 men and 4 women?
16. You are setting the combination on a three-digit lock.
17. How many arrangements are possible when the letters of the word CHAIR are placed in a row and C and H must be next to each other?
18. To win the small county lottery, one must correctly select 3 numbers from 30 numbers. The order in which the selection is made does not matter. How many different selections are possible?
19. A group of 25 people are going to run a race. The top 8 finishers advance to the finals.
20. How many different arrangements can be made from WATER?
21. State if each scenario involves a permutation or a combination. A team of 17 softball players needs to choose three players to refill the water cooler.
22. Nate is on a 7-day vacation. He plans to spend one day jet skiing and one day golfing. How many ways can Nate schedule these 2 activities?
23. Permutation, combination, or neither?There are 110 people at a meeting. They each shakehands with everyone else. How many handshakes were there?
24. A student is selecting 5 different Geography books, 4 different Chemistry books, and one of 7 different Science books. In how many different ways can a student select them?
25. In how many ways can you arrange the letters in the word "MISSISSIPPI" ?
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