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Let n > 5. A deck containing 4n cards has exactly n cards each of four...

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Advance Math

Let n > 5. A deck containing 4n cards has exactly n cardseach of four diffrent suits numbered from the set [n].

Using the method of choice and setting up appropriatesubsets in how many ways can five cards be chosen so thatthey contain:

(a) five consecutive cards of the same suit?(ie. the set of numbers on the cards is [i, i + 4])

(b) four of the five cards have the samenumber?

(c) exactly three of the cards have the samenumber?
(d) not more than two cards of the same suit?Hint: consider two cases.

give a justification of answers pls (set notation,bijection principal, addition or multiplication theorem, cartesianproduct etc...)

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