Before you is a pile of 8 blocks: 4 are white, 3 are yellow, and 1 is purple. by placing the blocks side by side in a straight line, how many different color patterns could you make?

a.
288

b.
140

c.
1,260

d.
362,880

Option 'A' is correct.

Step-by-step explanation:

Since we have given that

Total number of blocks = 8

Number of white blocks = 4

Number of yellow blocks = 3

Number of purple blocks = 1

According to question, we need to place the blocks side by side in a straight manner ,

So, Number of different colors pattern will be

Since there are two ways to written in a straight lines so, the total number of different color patterns he could make is given by

Hence, there are 288 ways to make different color patterns .

Therefore, Option 'A' is correct.

395.84

step-by-step explanation:

2πrh+2πr²

2 (pie)(radius)(height)+2(pie)(radius)^2