# Counting the number of combinations

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In his wardrobe at home, a businessman has 7 suits and 8 ties.

From those suits and ties he has on hand, he plans to take 3 of the 7 suits and 2 of the 8 ties with him to a conference in San Francisco.

How many different possible suit-ties combinations can he choose from to wear PRIOR TO LEAVING FOR HIS TRIP?

Consider: How many combinations of suits are possible? How many combinations of ties are possible?

A - 56

B - 336

C - 890

D - 1176

E - None of the above.

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##### Solution Summary

This solution shows how to solve two counting problems about the number of suit/tie combinations available to a business man.

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In his wardrobe at home, a businessman has 7 suits and 8 ties.

From those suits and ties he has on hand, he plans to take 3 of the 7 suits and 2 of the 8 ties with him to a conference in San Francisco.

How many different possible suit-ties combinations can he choose from to wear PRIOR TO LEAVING FOR HIS TRIP?

Consider: How many combinations of suits are possible? How many combinations of ties are possible?

I WOULD LIKE TO SEE THE WORK - I AM CONFUSED

A - 56

B - 336

C - 890

D - 1176

E - None of the above.

The correct answer is A - 56.

Note that the key to getting this answer is that the question asks how many ...

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