Imelda Marcos has 724 pairs of shoes, 11 pairs of pants, and 11 blouses. If you draw a tree diagram with her choices for blouses on the left, then for each blouse her choices of shoes, then for each pair of shoes her choices of pants, how many "leaves" will be on the right side of the tree?

Question

anonymous · Answer

I think this should be 11*724*11.
Each blouse is one branch, then from each of these branches there are 724 shoe choices.  There are now 11*724 branches.  Then from each of these branches there are 11 branches for pants.

(11*724)*11=87604