Question

In how many ways can 22 identical bottles of soda be distributed among four people, disregarding the order of distribution, so that each person gets at least one bottle? 34.

Answer 1

34. If out of 22 identical bottles 4 will get it hence using the formula of permutations we cLculate the no of ways it can be given to the 4 people.

Formula for permutation is

_np_r= n! / (n – r)!.

n= no of sample, r = no of selected

Hence by Formula and the data given in the question we calculate as ,

$\frac{10*9*8..*1}{8*7*6*....*1}=90$

There are 90 ways to select bottles