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Q.

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

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a

64

b

56

c

46

d

44

answer is A.

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Detailed Solution

Total no of combination=9c3 No of ways of selecting 3 balls from 2 white & 4 red balls=6c3 =9c3−6c3=64
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A box contains 2 white balls, 3 black balls and 4 red balls. The number of ways can 3 balls be drawn from the box if atleast one black ball is to be included in the draw is