List of top Mathematics Questions on permutations and combinations asked in MET

If \(N\) denotes number of 8-digit numbers that contain exactly four nines, then unit digit of \(N\) is:

The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is _ _ _ _ _ .

The value of \(\frac{C(n,2){(n+1)!}\) is}

If \( \frac{C(2n,3)}{C(n,2)} = \frac{44}{3} \), then \( n \) is equal to

The number of three digit numbers which have at least two identical digits is

Everybody in a room shakes hands with everybody else. The total number of handshakes is 66. The number of persons in the room is

If $C(n,2) : C(n,3) = 2 : 44 : 3$, then n is equal to

The number of ways in which a team of 11 players can be selected from 22 players including 2 of them and excluding 4 of them is

There are P copies of n-different books. The number of different ways in which a non-empty selection can be made from them is ________.

Out of 18 points in a plane no three are in the same straight line except five points which are collinear. The number of straight lines that can be formed joining them is ________.

The number of ways of selecting 3 balls from a bag containing 5 red and 4 blue balls such that at least one is red is:

The number of ways in which 5 people can be seated around a circular table is:

If \( {}^{n}C_{12} = {}^{n}C_{8} \), then \( n \) is:

The number of diagonal in a polygon of $n$ sides is:

The number of ways of selecting 3 balls from a bag containing 5 red and 4 blue balls such that at least one is red is:

The number of ways in which 5 people can be seated around a circular table is: