Question

Question #958ab

Answer 1

Since the order of the marbles does not matter, this is called a Combination problem.

Explanation:

There are `(""_3^5)=(5!)/(3!2!)=10` ways to pick 3 black numbered marbles from 5 black

There are `(""_2^5)=(5!)/(2!3!)=10` ways to pick 2 white numbered marbles from 5 white

In total, there are `10xx10=100` ways a set of five marbles – two white and three black, can be chosen from two barrels containing five black marbles and five white marbles respectively and labeled `1rarr5`

hope that helps