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...)
