Question

In how many ways can 12 balloons be distributed at a birthday party of 10 children

Answer 1

Number of ways of distributing 'N' identical objects among 'R' group such that each group can have 0 or (<= N )object is given by the formula :

$^{N+R-1}C_{R-1}$

In this question, N = 12, R = 10

$^{12+10-1}C_{10-1}$

We will use combination formula, $^nC_{r}= \frac{n!}{(n-r)! r!}$

= $^{21}C_{9}$

= $\frac{21!}{9! 12!}$

= 293,930

Therefore, there are 293,930 ways in which 12 balloons can be distributed at a birthday party of 10 children.

Answer 2

Answer:

Step-by-step explanation:

answer:6