Permutations and Combinations (BITSAT Mathematics): Questions 1 - 6 of 10

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Question number: 1

» Permutations and Combinations » Fundamental Principle of Counting

MCQ▾

Question

There are n white and n black balls. The number of ways in which we can arrange these balls in a row so that neighboring balls are of different colors is –

Choices

Choice (4) Response

a.

2(n!)2

b.

2n!(n!)2

c.

n!

d.

2n!

Question number: 2

» Permutations and Combinations » Simple Applications

MCQ▾

Question

The number of ways in which mn students can be distributed equally among m sections is –

Choices

Choice (4) Response

a.

(mn)!m!

b.

(mn)!(n!)m

c.

(mn)m

d.

(mn)!n!

Question number: 3

» Permutations and Combinations » Meaning of P (N,R) and C (N,R)

MCQ▾

Question

If (nPr)=720(nCr) , then value of r is –

Choices

Choice (4) Response

a.

7

b.

4

c.

5

d.

6

Question number: 4

» Permutations and Combinations » Combination as Selection

MCQ▾

Question

If 7 points out of 12 are in same straight line, then the number if triangles formed is

Choices

Choice (4) Response

a.

19

b.

201

c.

185

d.

508

Question number: 5

» Permutations and Combinations » Simple Applications

MCQ▾

Question

If n is an even positive integer they nCr , is maximum where r=_ ,

Choices

Choice (4) Response

a.

n

b.

0

c.

n2

d.

Question does not provide sufficient data or is vague

Question number: 6

» Permutations and Combinations » Simple Applications

MCQ▾

Question

A parallelogram is cut by two sets of n parallel lines parallel to the sides of the parallelogram. The number of parallelogram thus formed is –

Choices

Choice (4) Response

a.

nC2×n+1C2

b.

nC2×nC2

c.

n+2C2×n+2C2

d.

Question does not provide sufficient data or is vague

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