Permutations and Combinations Questions

1:

The number n of ways that an organization consisting of twenty -six members can elect a president, treasurer, and secretary (assuming no person is elected to more than one position) is

A.

15600

B.

15400

C.

15200

D.

15000

 

Answer : A

Explanation :

The president can be elected  in twenty-six different ways; following this, the treasurer can be elected in twenty five different ways since the person chosen president is not elegible to be treasurer); and following this, the secretary can be elected in twenty-four different ways. Thus, by above principle of counting, there are
n =26 x 25 x 24 =15600 different ways in which the organization can elect the officers.

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Option: A

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