Question

In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white balls?

• A. ${}^8{C}_5\times {}^{10}{C}_4$
• B. ${}^{10}{C}_5\times {}^8{C}_4$
• C. ${}^{18}{C}_9$
• D. none

Answer 1

Answer: (B)

${}^{10}{C}_5\times {}^8{C}_4$

No of ways of securing Red balls =${}^{10}{C}_5$

No of ways of selecting white balls = ${}^8{C}_4$

No of ways in which 5 red and 4 white balls be drawn = ${}^{10}{C}_5$ x ${}^8{C}_4$