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Question

Question: The number of ways in which n distinct objects can be put into three different boxes is...

The number of ways in which n distinct objects can be put into three different boxes is

A

3n

B

3n

C

n3

D

nP3nP_{3}

Answer

3n

Explanation

Solution

Each object can be dealt in 3 ways as it can be put in anyone of the three boxes. Hence, the total number of ways = 3 x 3 x 3 x ...n times = 3n.