The number of ways of selections one or more out of 7 given things is

The number of ways of selecting one or more things out of n dissimilar things is

Number of ways of selecting one or more things out of n dissimilar things are

Number of ways of selecting one or more things out of n dissimilar things are

Number of ways of selecting one or more things out of n dissimilar things are

No. of ways of selecting none or more of 10 identical things is

The number of ways of selecting ' n ' things out of '3n ' things of which 'n ' are of one kind and alike and 'n ' are of second kind and alike and the rest unlike is :

The number of ways of selecting ' n ' things out of '3n ' things of which 'n ' are of one kind and alike and 'n ' are of second kind and alike and the rest unlike is :

Find the number of ways of selecting 3 girls and 3 boys out of 7 girls and 6 boys.

The combinatorial coefficient C(n, r) can not be equal to the (A) number of possible subsets of r members from a set of n distinct members. (B) number of possible binary messages of length n with exactly r 1's. (C) number of non decreasing 2-D paths from the lattice point (0,0) to (r, n) (D) number selecting r things out of n different things when a particular thing is always included plus of ways of the number of ways of selecting r things out of n, when a particular thing is always excluded.

The number of all possible selections of one or more questions from 10 given questions, each question having one alternative is