Question: Simplify the alternating sum using the Binomial Theorem ([n], [0])-([n], [1])3+([n],[2])9-([n], [3])27+cdots + (-1)^(n)([n],[n])3^(n) A store sells 4 different kinds of T-shirts of your

Simplify the alternating sum using the Binomial Theorem ([n], [0])-([n], [1])3+([n],[2])9-([n], [3])27+cdots

Simplify the alternating sum using the Binomial Theorem ([n], [0])-([n], [1])3+([n],[2])9-([n], [3])27+cdots + (-1)^(n)([n],[n])3^(n) A store sells 4 different kinds of T-shirts of your size. (a) In how many different ways can you buy ten T-shirts? (b) How many different combinations of ten T-shirts will have at least one of each kind?

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