Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 1 (25 MCQs)

Quiz Instructions

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1. There are 15 applicants for four jobs:Computer Programmer, Software Tester, Manager, and Systems Engineer. Is this a permutation or a combination?
2. You have DVD collection with 20 DVDs. You can only take five DVDs with you on vacation. How many different sets of five DVDs can you take?Is this a Permutation or a Combination?
3. How many ways could you choose 2 different letters from SCHOOL?
4. A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there?
5. The batting order for seven players on a 12 person team. Is this a permutation or a combination?
6. How many different 3-digit numbers can be formed using the digits 1, 2, 3, 4, and 5 without repetition?
7. A lock has four dials. On each dial are the digits 0 to 9. How many possible combinations are there if you cannot reuse a number?
8. $^{15}$C$_{2}$
9. $_{12}$P$_{4}$
10. In the combination formula 4C2, what does the 'C' represent?
11. Permutation or Combination:Rob and Micaela are planning trips to four countries this year. There are 5 countries they would like to visit. One trip will be one week long, another two days, another two weeks, and the other a month.
12. The company Sea Esta has ten members on its board of directors. In how many different ways can it elect a president, vice-president, secretary and treasurer?
13. Calculate the number of ways to select 2 out of 5 different colored balls.
14. The ski club has 10 members and is choosing three officers for the season. How many ways can they pick a captain, co-captain and secretary?
15. How many ways can you choose 2 books from ashelf of 40 books?
16. A password consists of 4 different letters. How many different passwords can be formed using the letters A, B, C, D, E, and F?
17. What is 5! (5 factorial)?
18. There are 10 men and 6 women working at a company. A hiring committee of 4 staff members is selected by a supervisor.What is the probability that the committee is made up of 3 women and 1 man?
19. Permutation or Combination:A group of 40 people are going to run a race. The top three runners earn gold, silver, and bronze medals.
20. Evaluate $_{10}$P$_{3}$
21. The digits of the number 6378129 are to be arranged so that the resulting 7-digit number is even. Find the number of ways in which this can be done.
22. In how many ways the letters of the word OPPENHEIMER be arranged?
23. Is the order of arrangement important?A hamburger shop offers 8 toppings for customers to make their own burgers. A customer makes his burger by deciding whether or not he wants to add a particular topping. How many types of burgers can the customer make?
24. Billy has 54 marbles. 10 are blue, 9 are green, 25 are red, and 10 are black. What is the probability of drawing out a black marble?
25. Permutation or Combination:You are setting the combination on a four-digit lock. You want to use the numbers 3817 but don't care what order they are in.