What is the probability that the friends order only cotton sweatshirts?

Mathematics
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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?

a.  77/255

b.  1/204

c.  91/15

d.  1/15

May 4th, 2015

first one's chance of getting cotton is 6/18=1/3

2nd one 5/17(less one cotton)

3rd got 4/16=1/4

4th  3/15=1/5

1/3x5/17x1/4x1/5=1/204

=1/204

May 4th, 2015

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