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2048-8.2-44A AID: 897 There are no restrictions as to whether the door latch ons retain to be diverse flavors. a) For first scoop we founder 31 alternatives and for the second scoop again we see 31 pickaxs therefore by multiplication Principle (Suppose n choices must be do, with [pic] shipway to project choice 1, and for each of these ways, [pic]ways to depart choice 2, and so on with [pic] ways to make choice n. because [pic] contrary ways to make the entire sequence of choices) the issue 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 tercet 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 with [pic] ways to make choi ce 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] and then 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 akin flavors. Therefore, [pic]= [pic] double-scoop cones can be made if order doesnt matter.If you exigency to get a wax essay, order it on our website: BestEssayCheap.com

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