Permutations and Combinations Test

Result

Permutations and Combinations Test - 30

Score
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Weekly Quiz Competition

Question 1
4 / -1

Let A be a set containing 10 distinct elements. Then the total number of distinct functions from A to A, is

A
10!

B
10¹⁰

C
2¹⁰

D
2¹⁰ - 1
Question 2
4 / -1

How many numbers can be made with the help of the digits 0,1,2,3,4,5 which are greater than 3000 (repetition is not allowed) ?

A
180

B
360

C
1380

D
1500
Question 3
4 / -1

How many words can be made from the letters of the word INSURANCE , if all vowels come together

A
18270

B
17280

C
12780

D
None of these

Solution
Question 4
4 / -1

There are 10 lamps in a hall. Each one of them can be switched on independently.The number of ways in which the hall can be illuminated is

A
10²

B
1023

C
2¹⁰

D
10!
Question 5
4 / -1

The number of triangles which can be formed by using the vertices of a regular polygon of (n + 3) sides is 220.Then n =

A
8

B
9

C
10

D
11

Solution
Question 6
4 / -1

The total number of seven digit numbers the sum of whose digits is even, is

A
9000000

B
4500000

C
8100000

D
None of these
Question 7
4 / -1

A
7

B
< 7

C
> 7

D
None of these

Solution
Question 8
4 / -1

A lady gives a dinner party for six guests. The number of ways in which they may be selected from among ten friends, if two of the friends will not attend the party together is

A
112

B
140

C
164

D
None of these

Solution
Question 9
4 / -1

There are n distinct points on the circumference of a circle. The number of pentagons that can be formed with these points as vertices is equal to the number of possible triangles. Then the value of n is

A
7

B
8

C
15

D
30

Solution
Question 10
4 / -1

A

B

C

D

Solution