Question

you own 5 pairs of jeans and want to take 2 of them on vacation with you. in how many ways can you choose 2 pairs of jeans

Answer 1

SOLUTION:

Step 1:

In the question, we are given the following:

you own 5 pairs of jeans and want to take 2 of them on vacation with you.

In how many ways can you choose 2 pairs of jeans?

Step 2:

The details of the solution are as follows:

From this question, we can see clearly that this is an application of selection under combinatorial analysis:

$n\text{ C}_r=\text{ }\frac{n!}{r!(\text{ n - r \rparen}!}$$\begin{gathered} Now\text{, we have that:} \\ \text{n = 5} \\ \text{r = 2.} \\ Then,\text{ we have that:} \\ 5\text{ C}_2\text{ = }\frac{5!}{2!\text{ \lparen 5- 2\rparen}!}=\text{ }\frac{5!}{2!3!}=\frac{5\text{ x 4 x 3}!}{2!\text{ x 3}!}=\frac{20}{2}=\text{ 10 ways} \end{gathered}$

CONCLUSION:

The final answer is:

$10\text{ ways}$