Question

Mr. Pang has 8 types of flowers in a garden. He wants to put 3 types of flowers in a vase. How many groups of 3 different flowers can he create

Answer 1

Are you familiar with combinations and permutations?

Answer 2

Combination: A Combination is a selection of some or all of a number of different objects. It is an un-ordered collection of unique sizes. In a permutation the order of occurrence of the objects or the arrangement is important but in combination the order of occurrence of the objects is not important.

Permutation: An arrangement is called a Permutation. It is the rearrangement of objects or symbols into distinguishable sequences. When we set things in order, we say we have made an arrangement. When we change the order, we say we have changed the arrangement. So each of the arrangement that can be made by taking some or all of a number of things is known as Permutation.

Answer 3

Permutation:
\[_{n}P _{r}=\frac{ n! }{ (n-r)! }\]

Combination:
\[_{n}C _{r}=\frac{ n! }{ (n-r)!r! }\]

Answer 4

Let me know if you understand? If not, I can try to explain it as best as I can. c:

Answer 5

Oh and if you ever need any help, feel free to tag me in your posts like: @Kitt020912 :D