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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 black ball is to be included in the draw?

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? Correct Answer 64

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A box contains balls of two colours, black and white. A total of 28 balls were taken out from the box constituting of 1/5 of the black balls and 1/10 of the white balls. When 3/4 of the remaining black balls and 2/3 of the remaining white balls were also taken out, only 50 balls were left in the box. How many total balls were initially there in the box?
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A box contains red, green and blue colored balls. When one ball is drawn randomly from the box, the probability that it is either green or blue is 2/3. Also, the probability that the ball drawn randomly from the box is either red or green is 3/5. When two balls are drawn one after another from the box, the probability that both balls are of green color is 1/15. Find the total number of balls in the box.
A box contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 ballsbe drawn from the box, if at least one black ball is to be included in the draw?
A box contains red, green, and blue colored balls, such that the probability of picking a blue ball is 37.5% of the probability of picking a red ball, and the probability of picking a red ball is 88.89% of the probability of picking a green ball. If the box contains 8 red balls, then how many total balls are there in the box?
Given below are two quantities named A & B. Based on the given information; you have to determine the relationship between the two quantities. You should use the given data and your knowledge of Mathematics to choose between the possible answers. Quantity A: Find the number of natural numbers which lie between 108 and 109 which have products of their digits as 6? Quantity B: A bag contains 2 white balls, 3 black balls and 4 red balls. In how many ways can 3 balls be drawn from the bag, if at least one black ball is to be included in the draw?
A bag contains 4 red balls, 6 blue balls and 8 pink balls. One ball is drawn at random and replace with 3 pink balls. A second ball was drawn without replacement. What is the probability that the first ball drawn was either red or blue in colour and the second ball drawn was pink in colour? 
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A box contains 2 white, 3 black and 4 red balls. In how many ways can 3 balls be drawn from the box, if at least 1 black ball is to be included in the draw?