Question

there are 20 marbles in a bag marble has a different design or color how many ways can you draw five marbles from the jar?

Answer 1

we need to choose 5 marbles from 20 different options, that is, 20 choose 5. Applying the formula

`\text{nCk}=(n!)/(k!(n-k)!)`

we obtain

`20C5=(20!)/(5!(20-5)!)=(20!)/(5!15!)=15504`

So, we have 15504 different ways of drawing 5 arbles from the jar with 20 marbles.