Binomial TheoremHard
Question
The value of 
+.......+ 
is, where nCr = 
+.......+ is, where nCr = Options
A.
B.
C.
D.
Solution
50C0 × 50C1 + 50C1 × 50C2 +......+ 50C49 × 50C50
= 50C0 × 50C49 + 50C1 × 50C48 + ...........+ 50C49 × 50C0
= co-eff. of x49 in (1 + x)100 = 100C49
= 50C0 × 50C49 + 50C1 × 50C48 + ...........+ 50C49 × 50C0
= co-eff. of x49 in (1 + x)100 = 100C49
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