A group of 10 representatives is to be selected out of 12 seniors and 10 junior

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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?

Answer: Option C

Here, five seniors out of 12 seniors can be selected in ¹²Câ‚… ways. Also, five juniors out of ten juniors can be selected ¹â°Câ‚… ways. Hence the total number of different ways of selection = ¹²Câ‚… * ¹â°Câ‚… = ¹²Câ‚‡ * ¹â°Câ‚… = ¹²Câ‚… = ¹²Câ‚‡

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