Question

The student council at Gotham College is made up of four freshmen, fiv sophomores, six juniors, and seen seniors. A yearbook photographer would like to line up three council mebers from each class for a picture. How many dfferent pictures are possible if each group of classmates stands together?

Answer 1

if there was one of each class it would be \(4!\) but since there are 4 freshmen, 5 sophomores etc it is
\[4!\times 4!\times 5!\times 6!\times 7!\]