Question

Frank will choose 7 colors to use for an art project. If there are 10 colors to choose from, how many different color combinations are possible?

Answer 1

120

Step-by-step explanation:

total colours = 10

number of colours to be chosen = 7

We apply combination

The different color combinations possible:

`^(10)C_7=(10!)/((10-7)!7!)`
`\begin{gathered} =(10!)/(3!7!)=(10*9*8*7!)/(3*2*1*7!) \\ =(720)/(6) \\ \text{= 120} \end{gathered}`

The different color combinations possible is 120