A student dance committee is to be formed consisting of 3 boys and 2 girls. If the membership is to be chosen from 8 boys and 7 girls, how many different committees are possible?
__ different committees are possible
In committees the order doesn't matter, i.e. AB is the same as BA. So we are dealing with combinations in this problem. We have to find the size of the committee formed by the boys and girls separately, and then multiply these together to find our answer.
For the boys:
$C(8,3) = 56$
and for the girls:
$C(7,2) = 21$
$C(8,3) \cdot C(7,2) = 56 \cdot 21 = 1176$ committees are possible.
Excerpt from file: StockMarketTrends AmazonandNeflix Name Professor Course Title Date AmazonandNetflix Both attempted to make profits after the crash Both have been quite successful Both companies have similar strategies as they overtook their competitors through an online advantage. Founded by Jeff Bezos in 1995
Filename: Stock Market Trends.pptx
Filesize: < 2 MB
Print Length: 12 Pages/Slides
Surround your text in
**bold**, to write a math equation use, for example,