Permutations and Combinations Test

Result

Permutations and Combinations Test - 22

Score
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Weekly Quiz Competition

Question 1
4 / -1

The number of ways in which 6 men and 5 women can dine at a round table if no two women are to sit together is given by

A
6! × 5!

B
30

C
5! × 4!

D
7! × 5!

Solution
Question 2
4 / -1

The number of ways four boys can be seated around a round-table in four chairs of different colours is

A
24

B
12

C
23

D
64
Question 3
4 / -1

The number of circular permutations of n different objects is

A
n!

B
n

C
(n – 2)!

D
(n – 1)!
Question 4
4 / -1

If the best and the worst paper never appear together, then six examination papers can be arranged in how many ways

A
120

B
480

C
240

D
None of these
Question 5
4 / -1

The number of seven digit integers, with sum of the digits equal to 10 and formed by using the digits 1,2, and 3 only , is

A
55

B
66

C
77

D
88

Solution
Question 6
4 / -1

The number of ways in which 6 rings can be worn on the four fingers of one hand is

A
4⁶

B
⁶C₄

C
6⁴

D
None of these
Question 7
4 / -1

How many numbers greater than 24000 can be formed by using digits 1,2,3,4,5 when no digit is repeated

A
36

B
60

C
84

D
120

Solution
Question 8
4 / -1

4 buses run between Bhopal and Gwalior. If a man goes from Gwalior to Bhopal by a bus and comes back to Gwalior by another bus, then the total possible ways are

A
12

B
16

C
4

D
8
Question 9
4 / -1

If ⁿP₄ : ⁿP₅ = 1 : 2, then n =

A
4

B
5

C
6

D
7

Solution
Question 10
4 / -1

In how many ways can mn letters be posted in n letter boxes

A
(mn)ⁿ

B
m^mn

C
n^mn

D
None of these