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A bag has 10 balls. Six balls are drawn in an attempt and replaced. Then another draw of 5 balls is made from the bag. The probability that exactly two balls are common to both the draw is

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a
521
b
221
c
721
d
321

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detailed solution

Correct option is A

The total number of ways of making the second draw is  10C5The number of draws of 5 balls containing 2 balls common with first draw of 6 balls is 6C24C3. Therefore, the probability is  6C24C3 10C5=521


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