Question

you can choose a different color from.....​

Answer 1

Answer:

Think about choosing 4 colours, one at a time.

There are 9 choices for the first colour. The colours have to be different, so that one cannot be chosen again, 8 colours are left.

There are 8 choices for the second colour, and in the smae way, 7 choices for the third colour and 6 choices for the fourth colour.

The total number of possibilities is:

9

×

8

×

7

×

6

=

3

,

024

This can also be written as

9

!

(

9

−

4

)

!

=

9

!

5

!

Note why this works:

9

×

8

×

7

×

6

×

5

×

4

×

3

×

2

×

1

5

×

4

×

3

×

2

×

1

Explanation:

hope it helps you dear