Question

The number of ways in which $7$ different things can be distributed among $4$ persons, when each can receive as many as given, is

• A. $7^4$
• B. ${}^7{P}_4$
• C. ${}^7{C}_4$
• D. $4^7$

Answer 1

The correct option is D $4^7$

There are 4 persons and 7 "different" things. Each person can get

as many as 7 things.

So each thing can be given to one of

4 persons in 4 different ways.

no. of ways = 4.4.4.4.4.4.4

no. of ways = $4^7$ ways