JEE MAIN - Mathematics (2020 - 9th January Morning Slot - No. 10)

The coefficient of x4 is the expansion of (1 + x + x2)10 is _____.
Answer
615

Explanation

(1 + x + x2)10

= 10C0(1 + x)10 + 10C1(1 + x)9.x2 + 10C2(1 + x)8.x4+ .....

Coefficient of x4

= 10C0.10C4 + 10C1.9C2 + 10C2.8C0

= 210 + 360 + 45

= 615

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