In how many ways can 7 graduates line up to receive their diplomas if there are 4 girls and 3 boys and the girls will receive their diplomas first?
+118723 This one was answered yesterday.
4!3!
There are 4 ways the first girl can be chosen.
3 ways the 2nd one can be chosen
2 ways the third girl can be chosen
1 way that the last girl can be chosen
3 ways the first boy can be chosen
etc
4*3*2*1*3*2*1
$${\mathtt{4}}{!}{\mathtt{\,\times\,}}{\mathtt{3}}{!} = {\mathtt{144}}$$
+118723 This one was answered yesterday.
4!3!
There are 4 ways the first girl can be chosen.
3 ways the 2nd one can be chosen
2 ways the third girl can be chosen
1 way that the last girl can be chosen
3 ways the first boy can be chosen
etc
4*3*2*1*3*2*1
$${\mathtt{4}}{!}{\mathtt{\,\times\,}}{\mathtt{3}}{!} = {\mathtt{144}}$$
