Combinatories

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 Plected in twenty-six
different ways; following this, the treasurer can
he elected in twenty-five different ways (since the person chosen president is :-:ot eligible 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 = 15 600 different ways in which the organization can elect the officers.

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Option: A

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