Question

True or False?.The numbers of ways to select 3 out of 4 distinct objects with repetition allowed is C(4,3).

Answer 1

False

Explanation:

Given that 3 objects are drawn from 4 distinct objects with replacement.

Whenever we draw with replacement combination formula will not be appropriate.

The real solution would be as follows:

I object can be taken in 4 ways

II object also in 4 ways (since replacement)

and III object also in 4 ways

Hence total number of ways to select 3 out of 4 distinct objects with repetition allowed

=
`4^3 =64`