SOLUTION: A box contains two red, five green, six black, and four blue jelly beans. In how many ways can a sample of four jelly beans be selected from a box, without replacement, and withou

Algebra ->  Probability-and-statistics -> SOLUTION: A box contains two red, five green, six black, and four blue jelly beans. In how many ways can a sample of four jelly beans be selected from a box, without replacement, and withou      Log On


   



Question 788401: A box contains two red, five green, six black, and four blue jelly beans. In how many ways can a sample of four jelly beans be selected from a box, without replacement, and without regard to order if
A. All of the Jelly Beans are to be one color?
B. Exactly 3 are to be the same color?

Answer by edjones(8007) About Me  (Show Source):
You can put this solution on YOUR website!
nCr=n!/((n-r)!r!)
There are 17 jelly beans.
A.
5C4+6C4+4C4
=5+15+1
=21 ways
.
B.
(5C3+6C3+4C3)*14C1
(10+20+4)*14
34*14=476 ways
.
Ed