Question

Tonya and Lauren are designing a soccer uniform.they want to use two colors on the shirt.their choices are green, orange,yellow, purple,blue and silver. How many ways can they choose two colors?

Answer 1

A group of k elements can be chosen from a group of n elements in
`(n!)/(k!(n-k)!)` ways.

There are 6 colors they can choose from. They want to choose 2 colors.


`(^6 _2)=(6!)/(2!(6-2)!)=(6!)/(2! * 4!)=(4! * 5 * 6)/(2 * 4!)=(5 * 6)/(2)=5 * 3=15`

They can choose two colors in 15 ways.