Question

A bag contains six white marbles and five red marbles. Find the number of ways in which four marbles can be drawn from the bag if two must be white and two red

Answer 1

Total number of marbles = 6 white + 5 red = 11 marbles

If 2 must be white and 2 must be red

Then the required number of ways = ⁶C₂ × ⁵C₂ 

Hence the required number of ways are ⁶C₂ × ⁵C₂