Question

There are 5 different boxes and 7 different balls. All the 7 balls are to be distributed in the 5 boxes placed in a row so that any box can receive any number of balls.

In how many ways can these balls be distributed among these boxes?

• A. $5^7$
• B. $7^5$
• C. ${}^7{C}_5$
• D. ${}^7{P}_5$

Answer 1

The correct option is A $5^7$

Each of the 7 balls can be distributed in 5 ways.
Hence the required number of ways $=5^7$.