Question

Which statement is true? You can use both permutations and combinations when order matters. You can use permutations when order matters and use combinations when order doesn’t matter. You can use permutations when order doesn’t matter and use combinations when order matters. You can use permutations and combinations when order doesn’t matter.

Answer 1

You can use permutations when order matters and use combinations when order doesn’t matter.

Answer 2

Explanation:

The correct statement is that you can use permutation when order matters and use combination when order does not matter.

Permutation is applied to objecys when we want to arrange objects in a specific way. It talks about the number of ways several objects can be arranged taking some particular objects at a time.

If n people are to be arranged in r manner, this can be expressed as;

nPr = n!/(n-r)!

Combination has to do with number of ways a set of numbers r can be selected out a pool of numbers n. Mathematically, if r numbers are to be selected from total numbers of n people, this can be expressed as;

nCr = n!/(n-r)!r!