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Statement-1 : The sum of the series ^nC0...

Statement-1 : The sum of the series `^nC_0. ^mC_r+^nC_1.^mC_(r-1)+^nC_2.^mC_(r-2)+......+^nC_r.^mC_0` is equal to `^(n+m)C_r`, where C's and C's denotes the combinatorial coefficients in the expansion of `(1 + x)^n` and `(1 + x)^m` respectively, Statement-2: Number of ways in which r children can be selected out of (n + m) children consisting of n boys and m girls if each selection may consist of any number of boys and girls is equal to `^(n+m)C_r`

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