A) 35
B) 20
C) 10
D) None of these
Correct Answer: A
Solution :
Sum of the coefficient in the expansion \[{{(x-2y+3z)}^{n}}\]is \[{{(1-2+3)}^{2}}={{2}^{n}}\] \ \[{{2}^{n}}=128\Rightarrow n=7\] Therefore, greatest coefficient in the expansion of \[{{(1+x)}^{7}}\]is \[^{7}{{C}_{3}}\]or \[^{7}{{C}_{4}}\]because both are equal to 35.
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