# Three candidates are selected from a certain number of interviewees.If the order is not taken into account, then number of ways the candidates can be chosen is 35.How many ways are there if the order is taken into account?

##### 2 Answers

Jul 19, 2018

#### Explanation:

We know that if the order is not taken into account, we have

To go from Combinations to permutations for a specific problem:

So if the order did matter:

Jul 19, 2018

An alternate approach

#### Explanation:

Since combinations results can be read straight off of Pascal's Triangle, we can look at the triangle to find where choosing 3 from a population gives 35:

On the bottom line we can see that choosing 3 from a population of 7 gives 35. So we have in our question:

To put order into the calculation, we can find the permutation of 7 and 3: