SOLUTION: There is seven types of jelly. They package gift boxes containing four jars of jelly, no two of which are of the same type. To reflect the three national chains through which t

Question 335715: There is seven types of jelly.
They package gift boxes containing
four jars of jelly, no two of which are of the
same type. To reflect the three national chains
through which the jelly is distributed, the
producer uses three types of boxes. How
many different gift boxes are possible?
Answer by jrfrunner(365) (Show Source): You can put this solution on YOUR website!
3C1 ways to choose the National Chain, then there are 7C4 combinations to choose 4 jellies out of th 7 (combinations used since order is not important)
--
total =(3C1)*(7C4)=3*140=420
--
if for some strange reason, order of the jellies was important then
Total =(3C1)*(7P4)=3* 840=2520, where 7P4 is permutations of 4 items selected from 7 items.
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