Question

find the number of 2n-digit binary sequence in which the number of 0s in the first n digits is equal to the number of 1st in the last n digits. With explaination​

Answer 1

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If the number of 0's in the first n digits are equal to the number of 1's in the last n digits, that also means that the number of 0's and 1's are equal in the 2n-digit binary sequence. That would mean the total number of binary sequences with n 0's and n 1's would be (2nn).