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In: Statistics and Probability

There is a group of 10 students consisting of 3 wearing red shirts and 7 wearing...

There is a group of 10 students consisting of 3 wearing red shirts and 7 wearing black shirts. Using combinatoric (combination and / permutation) notation, answer the following.

a) How many groups of 5 students could be formed wearing any colour shirts?

b) How many groups of 5 students could be formed where 3 students are wearing black shirts and 2 student is wearing red shirts?

c)If 5 of the 10 students are waiting in a queue to borrow a book at the library, how many ways could the queue be formed?

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