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2048-8.2-44A AID: 897 There are no restrictions as to whether the bar ons retain to be distinct flavors. a) For first scoop we bugger off 31 alternatives and for the second scoop again we involve 31 selections therefore by multiplication Principle (Suppose n choices must(prenominal) be do, with [pic] shipway to project choice 1, and for each of these ways, [pic]ways to turn over choice 2, and so on with [pic] ways to make choice n. because [pic] contrary ways to make the entire sequence of choices) the mail service of different double-scoop cones result be [pic]= [pic] b) For first scoop we have 31 choices, for the second scoop we have 31 choices and for trinity scoop again we have 31 choices thus by Multiplication Principle (Suppose n choices must be made, with [pic] ways to make choice 1, and for each of these ways, [pic]ways to make choice 2, and so on wi th [pic] ways to make choice n. Then [pic] different ways to make the entire sequence of choices) the issuance of different triple-scoop cones will be [pic]= [pic] = [pic] c) Here order does not matter, so use combinations. The number of combinations of n elements taken r at time, where [pic] is given by [pic]and [pic]= [pic].

Therefore the number of combination choosing 2 scoop protrude of 31 flavors are [pic]= [pic] ! = [pic]{As [pic] = [pic]} = [pic] = [pic] consequently there are 465 eHways to make double-scoop cones with two different flavors. In addition, there would be 31 ways to make double-scoop cones with the equivalent flavors. Therefore, [pic]= [pic] double-scoop cones can be made if order doesnt matter.If you demand to get a wax essay, order it on our website: OrderCustomPaper.com

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