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Questions  

 How many terms are there in the expansion  of (4x+7y)10+(4x-7y)10?

a
5
b
6
c
11
d
12

detailed solution

Correct option is A

(4x+7y)10+(4x-7y)10=(4x)10+C1   10(4x)9(7y)+C2   10(4x)8(7y)2+…+(7y)10-(4x)10-C1   10(4x)9(7y)+C2   10(4x)8(7y)2+…+(7y)10=2C  101 (4x)9(7y)+C3   10(4x)7+C5   10(4x)8(7y)2+..+(7y)10 Therefore, required number of terms =5 .

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The coefficient of x7 in the expression (1+x)10+x(1+x)9+x2(1+x)8++x10 is


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