Questions
a
2nn!
b
2n−1(n−1)!
c
n!
d
2nn+1!
detailed solution
Correct option is A
1+x1!+x22!+⋯+xnn!2=1+x1!+x22!+⋯+xnn!1+x1!+x22!+⋯+xn−1(n−1)!+xnn! coefficient of xn=1⋅1n!+11!⋅1(n−1)!+12!⋅1(n−2)!+⋯+1n!1=1n!n!n!+n!(n−1)!1!+n!(n−2)!2!+⋯+n!n!=1n! nC0+nC1+nC2+⋯+nCn=2nn!Talk to our academic expert!
Similar Questions
If the coefficients of P th, ( p + 1)th and (p + 2)th terms in the expansion of (1 + x)n are in AP, then
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