Permutations Combinations - IB Mathematics HL - IB maths Higher Level

How can we find the number of possible choices for choosing a sub-committee of five persons consisting of the chairperson, secretary and three ordinary members from a committee of 40 people?

Solution

The chairperson can be chosen by ways

The secretary can be chosen by ways

And the three ordinary members can be chosen by ways


So, the members of this sub-committee can be chosen by




ways.

The answer is also here

http://www.ibmaths4u.com/viewtopic.php?f=3&t=430

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