Question

Box contains four white, three green, and five red balls. Determine the number of ways to draw three balls from the box such that the selected balls contain one green ball.

Answer 1

Answer:

108

Hope this helps.

Step-by-step explanation:

Assuming order does not matter (e.g. 3 balls all drawn at once).

Assuming "selected balls contain one green ball" means:

• "exactly one green ball",
• not "at least one green ball".

If this is not what's intended, then the answer won't be 108 !!

# ways choosing 3 balls with exactly 1 green

= ( # ways choosing 1 green ball ) × ( # ways choosing 2 non-green balls )

= $\displaystyle\binom{3}{1}\times\binom{9}{2}$

= $\displaystyle 3\times\frac{9\times8}{2}$

= 3 × 36

= 108