Question

A family has a bike rack that fits seven bikes, but they only have 5 bikes. How many ways can they fit these bikes on the rack

Answer 1

`x=21 ways`

Explanation:

From the question we are told that:

Bike space
`N=7`

Number of Bike
`n=5`

Generally the equation for This combination is mathematically given by

`x=^NC_n`

`x=^7C_5`

`x= (7!)/(5!2!)`

`x= 7*6/2`

`x=21 ways`