A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?  Pick one:
A) Â¹Â²Câ‚… * 10
B) Â¹Â²Câ‚‡ * 10
C) Â¹Â²Câ‚‡ * Â¹â°Câ‚…
D) 12 * Â¹â°Câ‚…
E) None of these
Explanation:   Here, five seniors out of 12 seniors can be selected in Â¹Â²Câ‚… ways. Also, five juniors out of ten juniors can be selected Â¹â°Câ‚… ways. Hence the total number of different ways of selection = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… * Â¹â°Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚‡ * Â¹â°Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚…   = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚… = Â¹Â²Â¹Â²Câ‚‡ * Â¹â°Câ‚…â‚‡   ANSWER IS Â¹Â²Câ‚‡ * Â¹â°Câ‚…
<result>C</result>
A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?