Question

A box contains 2 white balls, 3 black balls 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?

a. 32

b. 48

c. 64

d. 96

e. None of these

Answer 1

Answer is 64.

because if 1 black ball is included then =3×15=45

if 2 black balls is included then =6×3=18

if 3 black balls is included then =1×1=1

hence , adding all we get

45+18+1=64 ans.

Answer 2

this is your answer

C.64