Greatest coefficient in the expansion of (a+b+c+d)10 is
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a
5!2!3!
b
10!(2!)2(3!)2
c
10!(2!)2(3!)
d
5!(2!)(3!)2
answer is B.
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Detailed Solution
Greatest coefficient in the expansion of x1+x2+…xkn is n!(q!)k-r((q+1)!)r, Where q= Quotient of nk,r= Reminder of nk In the expansion (a+b+c+d)10n=10;k=4⇒q=2,r=2∴ Greatest coefficient is 10!(2!)2(3!)2