Question

In how many ways 10 pigeons can be placed in 3 different pigeon holes?

Answer 1

First pigeons can be placed in a pigeon-hole in 3 ways (selecting 1 from 3 holes)

Second pigeons can be placed in a pigeon-hole in 3 ways

Tenth pigeons can be placed in a pigeon-hole in 3 ways

So total number of ways in which all the number 10 place can be sent

= 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3 × 3

= 310 ways