EASY
CAT
IMPORTANT
Earn 100

There are 6 pups and 4 cats. In how many ways can they be seated in a row so that no cats sit together?

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Important Questions on Permutations and Combinations

EASY
CAT
IMPORTANT
How many new words can be formed with the word MANAGEMENT all ending in G?
EASY
CAT
IMPORTANT
Find the total numbers of 9-digit numbers that can be formed all having different digits.
EASY
CAT
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?
EASY
CAT
IMPORTANT
From 4 gentlemen and 4 ladies, a committee of 5 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
CAT
IMPORTANT
From 4 gentlemen and 4 ladies, a committee of 5 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 3 women, such that at least one woman holds the post of either a president or a vice-president?
EASY
CAT
IMPORTANT
Find the number of ways of selecting the committee with a maximum of 2 women and having at the maximum one woman holding one of the two posts on the committee.
EASY
CAT
IMPORTANT
The crew of an 8 member rowing team is to be chosen from 12 men, of which 3 must row on one side only and 2 must row on the other side only. Find the number of ways of arranging the crew with 4 members on each side.
EASY
CAT
IMPORTANT
In how many ways, 5 MBA students and 6 Law students can be arranged together so that no two MBA students are side by side?