Question

There are nine different marbles in a bag. Supposed you reach in and draw one at a time. And do this three times. How many ways can you draw the three marbles if you do not replace the marble each time

Answer 1

Answer: 504 ways

Step-by-step explanation:

Given

There are nine different marbles in a bag

For the first time, there are 9 possible ways to draw a marble

After removal of first marble, there are 8 possible ways to draw a marble

for the third time, there are 7 possible ways

so, total ways to draw three marble are

$\Rightarrow 9\times 8\times 7=504\ \text{ways}$