My club had a problem recently. They had to appoint a
Secretary from among the men and a Joint Secretary from among the women.
We have a membership of 12 men and 10 women. In how many
ways can the selection be made?
Answer:
120: This problem is an example of the
multiplicative principle. Here there are 12 ways of choosing the Secretary.
With each of these ways it is possible to choose the Joint Secretary in 10 ways.
The particular woman who is chosen as the Joint Secretary is not determined by
the choice of the Secretary. The choice of each is made independently and in
succession. / Therefore the total number of possibilities is the product of the
two possibilities.
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