SOLUTION: Paul recently purchased some new clothing for work. He has 4 ties, 7 dress shirts, and 5 pairs of dress pants. How many different outfits can he make?
Algebra ->
Permutations
-> SOLUTION: Paul recently purchased some new clothing for work. He has 4 ties, 7 dress shirts, and 5 pairs of dress pants. How many different outfits can he make?
Log On
Question 761621: Paul recently purchased some new clothing for work. He has 4 ties, 7 dress shirts, and 5 pairs of dress pants. How many different outfits can he make? Answer by ramkikk66(644) (Show Source):
You can put this solution on YOUR website! He can choose from any of the 4 ties i.e. 4 ways to choose a tie.
He can choose from any of the 7 shirts i.e. 7 ways to choose a shirt.
He can choose from any of the 5 pants i.e. 5 ways to choose a pair of pants.
Any combination of tie, shirt and dress pants makes up ONE outfit.
So, number of possible outfits = number of possible combinations of shirt, tie and pants
= 4 * 7 * 5 = 140 different outfits.