Question

Each of four friends orders a sweatshirt from a catalog. There are 18 colors of sweatshirts, 6 of which are all cotton and 12 of which are a blend. Each one orders a different color (no repeats) at random. What is the probability that the friends order only cotton sweatshirts?

Answer 1

Answer: 16 sweatshirts

Step-by-step explanation:  

7 of which are cotton.

There are 4 friends.

Say they all choose cotton sweatshirts,

First friend: (7/16)

Second friend: (6/15)

Third friend: (5/14)

Fourth friend: (4/13)

Multiply these together = (7/16)*(6/15)*(5/14)*(4/13)

= 0.01923076923 = 1.92%

1.92% is the probability all friends order cotton sweatshirts