Prove that the number of ways to select `n` objects from `3n` objects of whilch `n` are identical and the rest are different is `2^(2n-1)+((2n) !)/(2(n !)^2)`

The number of selection of n objects from 2n objects of which n are identical and the rest are different is

Which of the following is not the number of ways of selecting n objects from 2n objects of which n objects are identical

Which of the following is not the number of ways of selecting n objects from 2n objects of which n objects are identical

Prove that the number of selections of n things from two sets of n identical things and n other distinct things is (n+2)2^(n-1)

If n is a natural number then show that 1.3.5.7…..(2n-1) = ((2n)!)/(2^n n!)

prove: (2^n+2^(n-1))/(2^(n+1)-2^n)=3/2

If N denotes the number of ways of selecting r objects of out of n distinct objects (rgeqn) with unlimited repetition but with each object included at least once in selection, then N is equal is a. .^(r-1)C_(r-n) b. .^(r-1)C_n c. .^(r-1)C_(n-1) d. none of these