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Class 11 Mathematics Chapter 7 Permutations And Combinations Quiz 15 (25 MCQs)

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1. The number of different four digit numbers that can be formed with the digits 2, 3, 4, 7 and using digit only once is
2. There are 14 toppings listed on a pizza menu. How many different six-topping pizzas are possible?
3. In a party, 12 people are from same city. How many handshakes can be done among these 12 people?
4. How many arrangements can be made with the letters of the word ' MATHEMATICS'? In how many of them vowels are together?
5. How many different ways can a theatrical group select 2 musicals and 3 dramas from 11 musicals and 8 dramas?
6. How many ways can you select 3 students from a class of 15 if the order of selection matters?
7. In the combination formula nCr, what does the 'n' represent?
8. You go to Best Buy to purchase a new television. You have the following choices:LCD or plasma; screen size 27" , 32" , 36" , 41" , 51" , or 63" and manufacturer Sony, Vizio or Phillips. How many different televisions does the store have to offer?
9. The five digits 2, 3, 4, 5, 5 can be arranged to give many different 5-digit numbers. How many of these 5-digit numbers start with an even digit and end with an odd digit?
10. There are ten toppings available to make an ice cream sundae. How many different sundaes can Lala make if she chooses two toppings?
11. If all items chosen are treated differently it is a .....
12. How many words ( with or without meaning) can be formed from the letters of the word 'AGAIN'?
13. If P(10, r) = 5040, find r.
14. How would you solve?Ashlyn needs to bring a dessert to her dinner party. If the bakery has eight pies to choose from, how many ways can Ashlyn choose three?
15. If five digits 1, 2, 3, 4, 5 are being given and a three digit code has to be made from it if the repetition of digits is allowed then how many such codes can be formed.
16. In how many ways can 5 students be seated in a row?
17. How many ways can the coach pick a team of 5 players out of 15 players?
18. How many ways can you choose 2 fruits from a basket containing 5 different fruits?
19. How many distinct arrangements can be made using the letters of the word APPLE?
20. The student body of 10 students wants to elect a president, vice president, secretary, and treasurer. Is this a permutation or a combination?
21. Find n, if:(i) $\left(n+2\right)!=2550\times n$ $\left(n+1\right)!=12\times\left(n-1\right)!$
22. In Cornville, bicycle license plates have 2 letters followed by a 1-digit number. How many different license plates are possible?
23. $_{11}$P$_{4}$
24. Use a Calculator. Find the value of 8!
25. In how many ways can 5 different prizes be distributed among 4 students if each student can receive any number of prizes?
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