Question

How many ways are there to place 8 indistinguishable balls into 4 distinguishable bins?

Answer 1

Answer:

165

Step-by-step explanation:

How many ways are there to place 8 indistinguishable balls into 4 distinguishable bins?

8 indistinguishable balls  => only Number of Balls Matter (which balls does not matter)

4 distinguishable bins => Bins Matter

Number of Ways to place 8 indistinguishable balls into 4 distinguishable bins

= ⁸⁺⁴⁻¹C₈

= ¹¹C₈

= 11!/(8!3!)

= 11*10*9/(3 * 2 * 1)

= 165

165 Ways to place 8 indistinguishable balls into 4 distinguishable bins