Question

Help please Ill give medal!I really dont understand





Create two different situations: one in which you use combinations and one in which you use permutations. Include specific details and an explanation about what makes each situation either a combination or permutation.

Answer 1

TO understand this, basically you want to note that :

In permutations, order is important and are generally "arrangements".
So for example, if a question asked you to find the number of ways to rearrange 5 boys and 5 girls around a table (circle in shape) if:

a) There are no restrictions.
This means we have 10 objects in total correct ? (5 boys, 5 girls)
Therefore we input
= (10 -1)!
= 9!
Then if you plug in "9!" into the calculator, you get 362 880 ways.

[note: "n objects" = n! ways to be arranged]

However, an easier permutation question would be :
Question: Find the number of ways ABC can be rearranged.
So first you count the letters.
"A B C" has 3 letters; A, B and C. Therefore this means we have 3 objects = 3! ways of being arranged.
And SINCE all the letters are different, this means you just plug in 3! into the calculator and you will get 3 objects = 3! ways = 6 ways to be arranged.

In combinations, order is NOT important and are basically "selections".

An example would be like :
Question : A committee of 6 is to be chosen from 14 candidates. In how many different ways can this be done?
So then we need to use this formula: