Question

Be sure to show your work and/or justify your answer for all problems below. 1. A florist has 20 types of flowers available. (a) How many bouquets are possible if a bouquet is made up of any 6 different types of flower? (b) The flower options consists of 6 types of roses, 6 types of lilies, and 8 types of carnations. How many bouquets are possible if you need to choose type of rose, 2 types of lilies, and 3 types of carnations?

Answer 1

Here I'm using the permutations concept.nCr=n!/r!(n-r)! In first out of 20 select any 6 in 20C6 ways.in second select 1 out of 6 ,2 out of 6 and 3 out of 8 in 6C1×6C2×8C3 ways.answers are below thank you.

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. we select 2 types of lilies out of rtyper of whes in oc ways and we select a taper of carnations out of 8 typer of - carnations in 8 caways: - there are 6c, x ox. 8 bouquets are possible to choosing I type of rose , a type of lilies and 3 types of carnations. - these are 6sXGQX8 g = 6X27 , 8 x – 80 CF-2)] . 28 Het is sox .x5xss | 24x ( %) 31 (8-3 ) PX ZX by 51 3X2MXT = 6x 15 x 56 there I type of are sono bouquets possible chooseing rose, a types of lilies and 3 types of carnations . Thank you at