1

IIT-JEE 2005

Subjective

+2

-0

If total number of runs scored in n matches is $$\left( {{{n + 1} \over 4}} \right)\,\,({2^{n + 1}} - n - 2)\,$$ where $$n > 1$$, and the runs scored in the $${k^{th}}$$ match are given by k. $$\,{2^{n + 1 - k}}$$, where $$1 \le k \le n$$. Find n.

2

IIT-JEE 2004

Subjective

+2

-0

Prove by permulation or otherwise $${{({n^2})!} \over {{{(n!)}^n}}}$$ is an integer $$(n \in {1^ + })$$.

3

IIT-JEE 1994

Subjective

+4

-0

A committee of 12 is to be formed from 9 women and 8 men. In how many ways this can be done if at least five women have to included in a committee? In how many of these committees? In how may of these committees

(a) The women are in majority?

(b) The men are in majority?

(a) The women are in majority?

(b) The men are in majority?

4

IIT-JEE 1991

Subjective

+4

-0

Eighteen guests have to be seated, half on each side of a long table. Four particular guests desire to sit on one particular side and three others on the other side. Determine the number of ways in which the sitting arrangements can be made.

Questions Asked from Permutations and Combinations (Subjective)

Number in Brackets after Paper Indicates No. of Questions

JEE Advanced Subjects

Physics

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Some Basic Concepts of Chemistry
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