SOLUTION: organizer of a conference is selecting workshops to include. She will select 8 from workshops about music and 7 workshops about poetry. In how many ways can she select 7 workshops

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Question 1140723: organizer of a conference is selecting workshops to include. She will select 8 from workshops about music and 7 workshops about poetry. In how many ways can she select 7 workshops if 5 or more must be about music?
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


(1) 5 music and 2 poetry: "8 choose 5" times "7 choose 2";

OR (2) 6 music and 1 poetry: "8 choose 6 times "7 choose 1";

OR (3) 7 music and 0 poetry: "8 choose 7" times "7 choose 0"

Add the numbers of ways for the three cases.