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The coefficient of x^4 is the expansion of (1 + x + x^2)^10 is ———.

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The coefficient of x4 is the expansion of (1 + x + x2)10 is ———.

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= 45  + 210 + 360 = 615

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(1 + x + x2)10

= 10C0 + 10C1x(1 + x) + 10C2x2(1 + x)2 + 10C3x3(1 + x)3 + 10C4x4(1 + x)4 + .......

Coeff. of x4 = 10C2 + 10C3 × 3C1 + 10C4 = 615.

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