A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways three balls be drawn from the box if at least one black ball

Question

Fill in the blanks: 

A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways three balls be drawn from the box if at least one black ball is to be included in the draw is ______.

Answer 1

Formula:-

Number of white ball =2

Number of black ball=3

Number of red ball=4

selection of 3 balls if at least 1 black ball

= ³C₁.⁶C₂+³C_2.⁶C₁+³C₃

= 45+18+1

= 64