A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw? Answers
A) 74  B) 58  C) 12  D) 52  E) 64
We may have ( 1 black and 2 non black) or (2 black and 1 non black)or(3 black)   =3c1 x 6c2 + 3c2 x 6c1 +3c3   =64   ANS: 64
<result>E</result>
A box contains 2 white balls, 3 black ball and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least one black ball is to be included in the draw?