Question

An employee at a store is going to display 8 scented candles in a row on a shelf. He will put one of the candles, Cinnamon Spice, in the first spot. He will put another of the candles, Rose Petal, in the second spot. In how many ways can he arrange the candles

Answer 1

He can arange the candles in 720 ways

Explanation:

When we want to arrange n elements into n positions, we use the arrengment formula to solve this questions.

Arrangment formula:

Number of ways to organize n elements into n positions(that is, number of elements is the same as the number of positions).

`A_(n) = n!`

In this problem, we have that:

8 candles into 8 positions.

In the first spot, Cinnamon Spice.

In the second spot, Rose Petal.

The other 6 candles will be arranged into 6 positions.

In how many ways can he arrange the candles

`A_(6) = 6! = 720`

He can arange the candles in 720 ways