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 number of 4 letter words (with or without meaning) that can be formed from the eleven letters of the word 'EXAMINATION' 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
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
If $C(n,2) : C(n,3) = 2 : 44 : 3$, then n is equal to
A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is
The number of positive integers satisfying the inequality \(^{n+1}C_{n-1} + ^{n}C_{n-1} \leq 50\) is
\( S = \{1,2,3,\dots,20\} \) is to be partitioned into four sets \( A, B, C, D \) of equal size. The number of ways is
10 different toys are to be distributed among 10 children such that exactly two children do not get any toy. Total number of ways 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: