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7.Binomial Theorem
medium
${(1 + x)^{2n + 2}}$ ના વિસ્તરણમાં મહતમ સહગુણક મેળવો.
A
$\frac{{(2n)!}}{{{{(n!)}^2}}}$
B
$\frac{{(2n + 2)!}}{{{{\{ (n + 1)!\} }^2}}}$
C
$\frac{{(2n + 2)!}}{{n!(n + 1)!}}$
D
$\frac{{(2n)!}}{{n!(n + 1)!}}$
Solution
(b) Greatest coefficient of ${(1 + x)^{2n + 2}}$ is $ = {\,^{(2n + 2)}}{C_{n + 1}} = \frac{{(2n + 2)!}}{{{{\{ (n + 1)!\} }^2}}}$
Standard 11
Mathematics
