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$\underset{0 \leq i \leq j \leq 10}{\sum \sum}^{10} C_{j}^{j} C_{i}$ is equal to

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310

310 – 1

210

210 – 1

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Correct option is A

∑ ∑0≤i≤j≤10 10Cj jCi=10C0×0C0+10C1 1C0+1C1+10C2 2C0+2C1+2C2+10C3 3C0+3C1+3C2+3C3+…+10C10 10C0+10C1+…+10C10 =10C0⋅20+10C1⋅21+10C2⋅22+…+10C10⋅210 =(1+2)10=310

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∑ ∑0≤i≤j≤10 10Cj jCi is equal to

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$\underset{0 \leq i \leq j \leq 10}{\sum \sum}^{10} C_{j}^{j} C_{i}$ is equal to