Find a formula for the number of possible flower

Reference no: EM132782414

Discreet mathematics

Topic: Binomial Theorem

Question 1: (a) A florist sells linear arrangements of ten flowers, each of which is an orchid (available in two colors) or a rose (available in three colors). Each orchid weighs two ounces and each rose weighs one ounce, and arrangements are specified by their weight w ranging from 10 to 20 ounces. For a given weight w, find a formula for the number of possible flower arrangements with that weight.

Question 2: (b) How does your answer in part (a) relate to the coefficient of xw in the binomial expansion of (2x² + 3x)¹⁰? Why is this the case?

Reference no: EM132782414

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