Permutations an...

The no .of ways of selecting $$3$$ men and $$2$$ women from $$6$$ men and $$6$$ women.

How many six letter words be made out of the letters of $$ASSIST$$ ? In how many words the alphabets $$S$$ alternates with other letters ?

The number of ways in which 6 rings can be worn on the four fingers of one hand is 

If the coefficients of three consecutive terms in the expansion of  $$(1+x)^n$$ are in the ratio of $$1:7:42$$, then $$n$$ is divisible by-

If P (n, n) denotes the number of permutations of n different things taken all at a time then P (n, n ) is also identical to:

When we realize a specific implementation of a pancake algorithm, every move when we find the greatest of the sized array and flipping can be modeled through ____________.

There are 8 types of pant pieces and $$9$$ types of shirt pieces with a man. The number of ways in which a pair ($$1$$ pant, $$1$$ shirt) can be stitched by the tailor is

If $$ ^nP_r = ^nP{_r}{_+}{_1} $$ and  $$ ^nC_r = ^nC{_r}{_-}{_1} $$, then the values of n and r are:

There are 'mn' letters and n post boxes. The number of ways in which these letters can be posted is:

The number of words that can be formed using any number of letters of the word "KANPUR" without repeating any letter is