Prove that ^ m+n C_r = ^m C_r + ^m C_ r-1 ^n C_1 + ^m C_ r-2 ^n C_2 + + ^n C_r If and…

MATHEMATICS · Subjective · CBSE · Mathematics · Binomial Theorem · Binomial Theorem

Problem

Prove that

{}^{m+n} C_r = {}^m C_r + {}^m C_{r-1} {}^n C_1 + {}^m C_{r-2} {}^n C_2 + \dots + {}^n C_r

If

r < m, r < n

and

m, n, r

are positive integers.

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