The sum of all the coefficients In how many ways can six bea

The sum of all the coefficients In how many ways can six beads be chosen from a large supply of beads of each of eight different colors, if a repetition of colors is allowed?

Solution

The first bead can be selected in 8 Different ways (one for each color).

As Repetition is allowed

The second bead can be selected in 8 Different ways (one for each color).

The first third can be selected in 8 Different ways (one for each color).

and so on

Hence the no of ways in which the beads can be selected is:

8*8*8*8*8*8*8*8=8⁸=16777216 ways