Question

Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips. Jocelyn would like to have six carnations, four daffodils, and ten tulips in each arrangement. How many different arrangments can Jocelyn make?

Answer 1

The total arrangements Jocelyn can make is 239573160 if Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

What are permutation and combination?

A permutation is the number of different ways a set can be organized; order matters in permutations, but not in combinations.

It is given that:

Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

Arrangements for carnations = P(9, 6) = 60480

Arrangements for daffodils = P(12, 4) = 11880

Arrangements for tulips = P(12, 4) = 239500800

Total arrangements = 60480 + 11880 + 239500800 = 239573160

Thus, the total arrangements Jocelyn can make is 239573160 if Jocelyn is making flower arrangements for a party and has a choice of 9 carnations, 12 daffodils, and 12 tulips.

Learn more about permutation and combination here:

brainly.com/question/2295036

#SPJ1