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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 2 (25 MCQs)

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1. If three letters 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?
2. Picking a team of three people out of a group of 10.
3. How would you solve?Sarah plays softball over the summer. If there are 10 players on the team, how many ways can the coach make a batting order that includes all players?
4. A dessert is made by choosing from a type of ice cream (chocolate, vanilla, or strawberry), a topping (sprinkles, gummies, nuts, bananas), and a sauce (caramel, hot fudge). How many different sundaes can be made?
5. The batting order for seven players on a 12 person team.
6. At a New Car Dealership a particular model comes in 4 trim levels, 5 different colors, and 3 different interiors. How many different versions of this car model can be created from these options?
7. If you have 6 different shirts and want to wear 2, how many different combinations can you wear?
8. Total number of words formed by 2 vowels and 3 consonants taken from 4 vowels and 5 consonants is equal to
9. A group of 25 people are going to run a race. The top 8 finishers advance to the finals. How many different groups of 8 are possible?
10. Using the counting principle, how many different two-letter codes can be created using the letters A, B, C, and D without repeating letters?
11. There are 68 juniors at the high school. How many ways can they elect a class president, vice president, and secretary?
12. Find out the distinct four-letter words that can be formed using the word SINGAPORE.
13. There are 18 people running in a cross country race. How many possible ways are there to place the runners in first, second, and third?
14. How many ways can you arrange the word TOMORROW?
15. On a railway line there are 20 stops. A ticket is needed to travel between any 2 stops. How many different tickets would the government need to prepare to cater to all possibilities?
16. A team of 6 tennis players is to be chosen from 10 tennis players consisting of 7 men and 3 women. Find the number of different teams that could be chosen if the team must include at least 1 woman.
17. A team of 8 basketball players needs to choose a captain and co-captain. Is this a permutation or a combination?
18. A team of 17 softball players needs to choose three players to refill the water cooler. Is this a permutation or a combination?
19. A couple wants to plant some shrubs around a circular walkway. They have seven different shrubs. How many different ways can the shrubs be planted?
20. Rob and Mary are planning trips to nine countries this year. There are 13 countries they would like to visit and are deciding which countries to skip. How many ways can the selection be made?
21. An internet code consists of one digit followed by one letter, The number zero and letter O are excluded. How many codes are possible?
22. Evaluate. $\\_{10}C_4$
23. Find out the number of arrangements that can be made for the word RAINBOW if all the vowels are placed on the even places?
24. How many ways can a teacher choose 5 students out of 13 to ride in a car instead of the van?
25. How many ways can an employer fill four jobs:Computer Programmer, Software Tester, Manager, and Systems Engineer, if they have 15 applicants?
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