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Question
A trust has 25 members. In how many ways can a President, Vice President and a Secretary be selected?
Solution
From the 25 members a president can be selected in 25 ways
After the president is selected, 24 persons are left out.
So a Vice President can be selected in (from 24 persons) 24 ways.
After the selection of Vice President 23 persons are left out
So a secretary can be selected (from the remaining 23 persons) in 23 ways
So a president, Vice president and a secretary can be selected in 25P3 ways
25P3 = 25 × 24 × 23 = 13800 ways
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