Question:
Find the number of ways in which 8 distinct toys can be distributed among 5 childrens.
Solution:
Each of the toy can be distributed in 5 ways.
$\therefore$ Total number of ways of distributing the toys $=5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5 \times 5=5^{8}$