There are two bags each of which contains $n$ balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag $i s^{2 n} C_{n} - 1 .$

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There are two bags each of which contains

n

balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag

i s^{2 n} C_{n} - 1 .

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Question Text

There are two bags each of which contains

n

balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag

i s^{2 n} C_{n} - 1 .

There are two bags each of which contains $n$ balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag $i s^{2 n} C_{n} - 1 .$

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Practice questions from similar books

There are two bags each of which contains n balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag is2nCn​−1.

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Practice questions from similar books

There are two bags each of which contains $n$ balls. A man has to select an equal number of balls from both the bags. Prove that the number of ways in which a man can choose at least one ball from each bag $i s^{2 n} C_{n} - 1 .$