Question

In how many ways can $4$ different balls be distributed among $5$ different boxes when any box can have any number of balls?

• A. $5^4$
• B. $5^4-1$
• C. $4^5-1$
• D. $4^5$

Answer 1

Answer: (A)

$5^4$

There are $4$ balls and $5$ different boxes.

Each ball has $5$ different options to go.

Therefore , Total number of ways $=5\times 5\times 5\times 5$

$=5^4$