SOLUTION: Four out of 10 balls are red, some are green, and the rest are of different colors. If the balls can be arranged in 6300 ways, find the number of green balls.

Algebra ->  Permutations -> SOLUTION: Four out of 10 balls are red, some are green, and the rest are of different colors. If the balls can be arranged in 6300 ways, find the number of green balls.       Log On


   

Question 1114134: Four out of 10 balls are red, some are green, and the rest are of different colors. If the balls can be arranged in 6300 ways, find the number of green balls.
Answer by greenestamps(13198) About Me  (Show Source):
You can put this solution on YOUR website!


The number of ways of arranging 10 balls, of which 4 are one color, some unknown number x are another color, and the remaining balls are all different colors, is

10%21%2F%284%21%29%28x%21%29

So
%2810%2A9%2A8%2A7%2A6%2A5%29%2F%28x%21%29+=+6300
x%21+=+%2810%2A9%2A8%2A7%2A6%2A5%29%2F%286300%29+=+24
x+=+4

There are 4 green balls.