Q.

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
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