Explore BrainMass

# Counting the number of combinations

Not what you're looking for? Search our solutions OR ask your own Custom question.

This content was COPIED from BrainMass.com - View the original, and get the already-completed solution here!

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.

https://brainmass.com/statistics/probability/counting-number-combinations-126856

#### Solution Preview

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 ...

#### Solution Summary

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

\$2.49