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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 8 (25 MCQs)

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1. The coed soccer team has 14 girls and 16 boys. How many different boy-girl practice partners can be arranged?
2. If you roll a die and flip a coin, how many possible outcomes are there?
3. There are 7 students in a class:5 boys and 2 girls.If the teacher picks a group of 4 at random, what is the probability that everyone in the group is a boy?
4. Billy has 54 marbles. 10 are blue, 9 are green, 25 are red, and 10 are yellow. What is the probability of drawing out a yellow marble?
5. How many ways can a club of 10 students elect a president, vice president, secretary, and treasurer?
6. What is the total number of words that can be formed using the letters in the word 'MARCH'?
7. The batting order for seven players on a 12-person team. How many ways can the selection be made?
8. True or False:Permutations are used to count in situations where order is important. Combinations are used to count in situations where selection, not order, is important.
9. A group of 5 students is to be seated in a row. How many different seating arrangements are possible?
10. Using all the letters of the word GIFT how many distinct words can be formed?
11. 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. Is this a permutation or a combination?
12. NJ license plates have 3 letters followed by 4 numbers. If the same letter cannot be repeated, how many can be made?
13. Jess wants to arrange 9 different books on a shelf. There are 4 mathematics books, 3 physics books and 2 chemistry books. Find the number of different possible arrangements of the books if all the mathematics books are kept together and all the physics books are kept together.
14. The Nebraska license plate has 6 characters, each one filled with a number (0-9) or a letter. How many license plates are possible?
15. If you roll two dice, how many possible outcomes?
16. Which of the following can have no repeating choices and the order does NOT affect the amount of possible outcomes?
17. How many different ways can 5 books be arranged on a shelf?
18. Is the order of arrangement important? Find the number of ways to form a team of three players for a game out of a group of 10 individuals.
19. 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?
20. What does $10_{P_5}$
21. From a group of 8 women and 6 men, a committee of 5 people is to be formed. How many different committees can be formed if the committee must consist of 3 women and 2 men?
22. You are taking a survey on your experience at Taco Bell. For the first five questions you can answer Below Average, Average, or Above Average for each question. The last three questions you can respond with either Agree or Disagree. How many total outcomes are there for this survey?
23. Use your calculator.Find the value of $12!\div6!$
24. The student body of 10 students wants to elect a president, vice president, secretary, and treasurer.
25. Jane needs to make a four-letter password. If the first letter has to be a vowel, how many possibilities are there to choose from?
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