A"child has six blocks, three of which are red and three of which are green". how many patterns can shemake by placing them all in a line? if she is given threewhite blocks, how many total patterns can she make by placing all nine blocks in a line?

There are 20 ways and 1680 ways respectively.

Step-by-step explanation:

Since we have given that

Total number of blocks = 6

Number of red blocks = 3

Number of green blocks = 3

So, Number of patterns she can make by placing them all in a line is given by

If there are 3 white blocks

so, total number of white blocks becomes 9

So, Number of total pattern she can make by placing all nine blocks in a line is given by

Hence, there are 20 ways and 1680 ways respectively.

1. perpendicular

2. parallel

3. perpendicular