Permutations and Combinations Test

Result

Permutations and Combinations Test - 34

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A student is allowed to select at most n books from a collection of (2n + 1) books. If the total number of ways in which he can select one book is 63, then the value of n is

A
2

B
3

C
4

D
None of these

Solution
Question 2
4 / -1

Out of 6 books, in how many ways can a set of one or more books be chosen

A
64

B
63

C
62

D
65

Solution
Question 3
4 / -1

In the 13 cricket players 4 are bowlers, then how many ways can form a cricket team of 11 players in which at least 2 bowlers included

A
55

B
72

C
78

D
None of these

Solution
Question 4
4 / -1

Six ‘+‘ and four ‘—‘ signs are to be placed in a straight line so that no two ‘—‘ signs come together, then the total number of ways are

A
15

B
18

C
35

D
42
Question 5
4 / -1

In how many ways can 6 persons be selected from 4 officers and 8 constables, if at least one officer is to be

A
224

B
672

C
896

D
None of these

Solution
Question 6
4 / -1

In an election there are 5 candidates and three vacancies. A voter can vote maximum to three candidates, then in how many ways can he vote

A
125

B
60

C
10

D
25
Question 7
4 / -1

Out of 6 boys and 4 girls, a group of 7 is to be formed. In how many ways can this be done if the group is to have a majority of boys

A
120

B
90

C
100

D
80

Solution
Question 8
4 / -1

The number of ways in which we can select three numbers from 1 to 3 so as to exclude every selection of all even numbers is

A
4060

B
3605

C
455

D
None of these
Question 9
4 / -1

A man has 10 friends. In how many ways he can invite one or more of them to a party

A
10!

B
2¹⁰

C
10! - 1

D
2¹⁰ - 1
Question 10
4 / -1

The number of ways in which any four letters can be selected from the word \'CORGOO\' is

A
15

B
11

C
7

D
None of these

Solution