In: Statistics and Probability
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?