Permutations and Combinations Test

Result

Permutations and Combinations Test - 52

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A
6

B
5

C
4

D
7

Solution
Question 2
4 / -1

A
5

B
15

C
10

D
20

Solution
Question 3
4 / -1

How many different signals can be made by 5 flags from 8 flags of different colours

A
10

B
6720

C
20

D
None of these

Solution
Question 4
4 / -1

The number of triangles that can be formed by 5 points in a line and 3 points on a parallel line is

A
⁸C₃

B
⁸C₃ – ⁵C₃

C
⁸C₃ – ⁵C₃ – ³C₃

D
None of these
Question 5
4 / -1

The number of straight lines that can be formed by joining 20 points no three of which are in the same straight line except 4 of them which are in the same line

A
183

B
186

C
197

D
185

Solution
Question 6
4 / -1

The number of diagonals of a polygon of m sides is

A

B

C

D

Solution
Question 7
4 / -1

Given six line segments of lengths 2,3,4,5,6,7 units , the number of triangles that can be formed by these lines is

A
⁶C₃ – 7

B
⁶C₃ – 6

C
⁶C₃ – 5

D
⁶C₃ – 4
Question 8
4 / -1

The number of triangles that can be formed by choosing the vertices from a set of 12 points , seven of which lie on the same straight line, is

A
185

B
175

C
115

D
105
Question 9
4 / -1

The straight lines I₁, I₂, I₃ are parallel and lie in the same plane. A total number of m points are taken on I₁, n points on I₂, k points on I₃. The maximum number of triangles formed with vertices at these points are

A
^m+n+kC₃

B
^m+n+kC₃ – ^mC₃ – ⁿC₃ – ^kC₃

C
^mC₃ + ⁿC₃ + ^kC₃

D
None of the above

Solution
Question 10
4 / -1

In a plane there are 37 straight lines of which 13 pass through the point A and 11 pass through the point B. Besides no three lines pass through one point, no line passes through both point A and B and no two are parallel. Then the number of intersection points the lines have is equal to

A
535

B
601

C
728

D
None of the above