Out of 14 things 10 are alike and rests are different. Find the number of combinations taken 10 at a time.

There are 4n things of which n are alike and the rest different. Find the number of permutations of 4n things taken 2n at a time, each permutation containing the n like things.

Out of 17 comodities 12 are same type and 5 are different type. Find the number of combinations if 13 comodities are taken at a time.

Of the 17 articles , 12 are alike and the remaining 5 are different . Find the numbers of combinations , if 13 articles are taken at a time .

Out of 14 articles, 10 are of the same type and each of the remaining is of different type. Find the number of combinations if 10 articles are taken at a time ?

Of the 14 articles , 10 are of sme type and each of the remaining is of different type . Find the number of combinations if 10 articles are taken at a time .

Find the number of permutations of 10 objects, taken 4 at a time.

Out of 14 articles,10 are of same type and each of the remaining is of different types..Find the number of combinations ,if 10 articles are taken at a time.

If the number of combinations of n different things taken (r+r) at a time be equal to the number of combinations taken (r-r) at a time , find the value of n.

Out of 3n given things 2n are alike and the rest are different Show thata selection of 2n things can be madde from these 3n things in 2^(n) different ways .

If a denotes the number of permutations of (x+2) things taken all at a time, b the number of permutations of x things taken 11 at a time and c the number of permutations of x-11 things taken all at a time such that a=182b c , find the value of xdot a) 10 b) 12 c) 15 d) 18