A staple of art classes, Crayola Crayons have been around since 1903. The original boxes of Crayola contained eight different-colored crayons. The crayons were arranged in two rows of four crayons each. In how many different ways could the crayons have been arranged in the box?

Respuesta :

Answer:

40,320 ways

Step-by-step explanation:

From the above question, we know that there are 8 different coloured crayons

They are arranged in 2 rows, with 4 per row.

The number of different ways through which we can arrange the crayons is determined as:

Since each crayons are differently colored, any color can be first and any color can be in a different spot.

Therefore, this is calculated as:

8!

8! = 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1

= 40,320 ways.