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## 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 blåck ball is to included in the draw

Asked On2019-06-11 18:03:35 by:RSHAH12

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Download question setAnswersTotal white balls =2

Total black balls =3

Total red balls =4

The possibilities to draw three balls with atleast one black ball =(1 black+2 non black)+(2 black+1 non black)+(3 black+0 non black)

⇒

^{3}C_{1}×^{6}C_{2}+^{3}C_{2}×^{6}C_{1}+^{3}C_{3}×^{6}C_{0}⇒45+18+1

⇒64

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