EASY
CAT
IMPORTANT
Earn 100

How many -digit numbers divisible by can be formed with the digits and ?
(a)
(b)
(c)
(d)

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Important Questions on Permutations and Combinations
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There are pups and cats. In how many ways can they be seated in a row so that no cats sit together?

EASY
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IMPORTANT
How many new words can be formed with the word MANAGEMENT all ending in G?

EASY
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Find the total numbers of -digit numbers that can be formed all having different digits.

EASY
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IMPORTANT
There are V lines parallel to the x-axis and 'W' lines parallel to y-axis. How many rectangles can be formed with the intersection of these lines?

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From gentlemen and ladies, a committee of is to be formed. Find the number of ways of doing so if the committee consists of a president, a vice president, and three secretaries?

MEDIUM
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IMPORTANT
From gentlemen and ladies, a committee of is to be formed. The committee consists of a president, a vice-president and three secretaries. What will be the number of ways of selecting the committee with at least women, such that at least one woman holds the post of either a president or a vice-president?

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IMPORTANT
Find the number of ways of selecting the committee with a maximum of women and having at the maximum one woman holding one of the two posts on the committee.

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IMPORTANT
The crew of an member rowing team is to be chosen from men, of which must row on one side only and must row on the other side only. Find the number of ways of arranging the crew with members on each side.
