Question

Five identical balls are to be distributed among $10$ identical boxes. If not more than one ball goes into a box, the total number of ways this can be done is______

Answer 1

Reference distribution of k balls into n boxes formula is …${}^{{}^n}{P}_k$

Where n= number of boxes and k=number of bales

Given $n=10,k=5$

Now , ${}^{10}{P}_5$

$\frac{10!}{(10-5)!}=\frac{10!}{5!}=10\times 9\times 8\times 7\times 6$

$=3024$

This is answer