Question

A Swedish tour guide has devised a clever way for his clients to recognize him. He owns 13 pairs of shoes of the same style, customized so that each pair has a unique color. How many ways are there for him to choose a left shoe and a right shoe from these 13 pairs?

Answer 1

Answer:

P(13,2) = 169

Explanation:

We have to calculate the combinations for left and right shoe considering is not the same having a right shoe blue and left red than having a right shoe rend and a left red.

there are 13 pairs from whcih she will take a single pair:

$P(n,r) = n^{r}$

where:

n = number of pair = 13

r = shoes = 2 (one on each foot)

$P(n,r) = 13^{2}$

P(13,2) = 169