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A bag contains 4 red, 3 black and 2 white balls. In how many ways 3 balls can be drawn from this bag so that they include at least one black ball?​

A bag contains 4 red, 3 black and 2 white balls. In how many ways
3 balls can be drawn from this bag so that they include at least one
black ball?​

Grade:11

1 Answers

Harshit Singh
askIITians Faculty 5962 Points
one year ago
Dear Student

Required number of ways = Number of ways of selecting 3 balls out of given 9 balls (without any restriction) - Number of ways of selecting 3 balls when no black ball is to be selected.
Hence the answer should be
9C3−6C3
9C3−6C3
= 84 - 20
= 64


Thanks

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