Question

A bag has 5 red balls and 4 white balls. Three balls are drawn at random from the bag. How many ways can the three balls be drawn if the three balls are red? Show your work.

Answer 1

there are
\[\dbinom{5}{3}\] ways to pick three red balls from a set of 5. you compute this as \[\dbinom{5}{3}=\frac{5\times 4}{2}=10\]\]