3. Suppose you are a florist and at the end of the day, you only have 13 differe

Question

3. Suppose you are a florist and at the end of the day, you only have 13 different single flowers: 1 Amaryllis, 1 Begonia, 1 Carnation, 1 Daisy, 1 Echinacea, 1 Forget Me Not, 1 Gardenia, 1 Hibiscus, 1 Iris, 1 Jasmine, 1 Kalmia, 1 Lily, and 1 Marigold Answer each question and briefly explain your reasoning. Leave your answer unsimplified in terms of permutations, combinations, factorials, exponents, etc. (a) (3 points) Three customers walk in together. The first customer wants 4 flowers, the second wants and the third wants 4. How many ways can you give out your remaining 13 flowers to these (b) (3 points) Suppose instead that one customer walks in and wants to buy an arrangement of all (c) (6 points) Suppose instead that nobody came in and you have to close without selling the 13 customers in this way? 13 flowers but he wants them to be arranged in a circle. How many ways can you do this? flowers. So you bring them to your three children. How many ways can you give all 13 flowers to 3 children so that each child gets at least one?

Explanation / Answer

(a) The number of required way is given by : 13C4 * 9C5*4C4 + 13C5*8C4*4C4

(b) The number of required way is given by : (13-1)!

(c) The number of required way is given by : 13C3

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