Q.
If the sum of the coefficients in the expansion of (x - 2y + 3 z)n is 128, then the greatest coefficient in the expansion of(1 + x)n is
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a
35
b
20
c
10
d
None of these
answer is A.
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Detailed Solution
Sum of the coefficients in the expansion of(x−2y+3z)n is (1−2+3)n=2n (put x=y=z=1 ) ∴ 2n=128⇒n=7Therefore, the greatest coefficient in the expansion of(1+x)7 is 7C3 or 7C4 because both are equal to 35.
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