A bag contains 5 black and 6 red balls. Determine the number of ways in which 2 black and 3 red balls can be selected.

Given: A bag contains 5 black and 6 red balls

Number of ways we can select 2 black balls from 5 black balls are ⁵C₂

Number of ways we can select 3 red balls from 6 red balls are ⁶C₃

∴ Number of ways 2 black and 3 red balls can be selected are: ⁵C₂× ⁶C₃

∴ ⁵C₂× ⁶C₃ =

⇒ ⁵C₂× ⁶C₃ =

∴ Number of ways in which 2 black and 3 red balls can be selected from 5 black and 6 red balls are : 200