Permutations and Combinations Test

Result

Permutations and Combinations Test - 37

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

At an election, a voter may vote for any number of candidates not greater than the number to be chosen. There are 10 candidates and 5 members are to be chosen. The number of ways in which a voter may vote for at least one candidate is given by

A
637

B
638

C
639

D
640

Solution
Question 2
4 / -1

A
14

B
15

C
12

D
11

Solution
Question 3
4 / -1

A
(p + 1) (m + 1) (n + 1) – 2

B
(p + m + n + 1) (n + 1) – 1

C
(p + 1) (m + 1) (n + 1) – 1

D
none of these

Solution
Question 4
4 / -1

The number of positive integers with the property that they can be expressed as the sum of the cubes of 2 positive integers in two different ways is

A
10

B
100

C
40

D
∞
Question 5
4 / -1

A class has 21 students. The class teacher has been asked to make n groups of r students each and go to zoo taking one group at a time. The size of group i.e. the value of r for which the teacher goes to the zoo, maximum number of times is (no group can go to the zoo twice)

A
9 or 10

B
10 or 11

C
11 or 12

D
12 or 13

Solution
Question 6
4 / -1

There are p, q, r points on three parallel lines L₁, L₂ and L₃ all of which lie in one plane. The number of triangles which can be formed with vertices at these points is

A

B

C

D
none of these

Solution
Question 7
4 / -1

The number of solutions if x + y + z + w = 20, if x ≥ 1, y ≥ 2, z ≥ 3, w ≥ 4, is

A

B

C

D

Solution
Question 8
4 / -1

The number of ten balls selections, if at least one ball of each colour must be included in the 10 ball selections is

A
256

B
286

C
84

D
none of these

Solution
Question 9
4 / -1

A
14

B
15

C
16

D
28

Solution
Question 10
4 / -1

n books are arranged on a shelf so that two particular books are not next to each other, There were 480 arrangements altogether. Then the number of books on the shelf is ________

A
5

B
6

C
10

D
8

Solution