Ques: Find the number of ways of distributing 8 identical balls in 3 distinct boxes so that none of the boxes
is empty.
Ans: Let the number of balls in three boxes be X, Y and Z.
We see that X + Y + Z = 8 with X, Y, Z >= 1 and
<=6 .
And from the above diagram, there are only
7C
2 ways of doing it, that is the number of ways you can put two sticks in any of the seven gaps
between the eight balls.
Tags: Technology,Mathematical Foundations for Data Science,JavaScript,Web Development,
No comments:
Post a Comment