Problem 1150

A man has 9 shirt and 4 ties. How many different shirt and tie arrangements can be wear?

 

Solution:-

 

Multiplication Principle of Counting.

If a  take consists of a sequence of choices in which there are p selections for the first choice, q  selection for the  second choice, r selection for the third choice, and so no, then task of making these selections can be done in

P*q*r*…

different ways.

There are only two choice to be made. First the man must select a shirt to wear, and then he has to select a tie.

There are 9 ways for him to select a shirt.

There are 4 ways for him to select a tie.

So, by the Multiplication Principle of Counting, there are 9 * 4 or 36 different shirt and tie arrangements from which to choose.

 

 

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