If Ai- j be the co-efficient of ai bj c2010-i-j in the expansion of a-b-c2010 thenA- Ai- i is defined for i - 1010B- Ai- j-Aj- iC- A2 i- 3 i is defined for i - 405D- A0- 1-2000

The correct option is B Clearly, A_i,j = 2010!/i!j!(2010 i j)! A_j,i = 2010!/j!i!(2010 i j)! Hence, A_i,j = A_j,i ...

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Sum of Coefficients of All Terms

If Ai, j be t...

Question

If $A_{i, j}$ be the co-efficient of $a^{i} b^{j} c^{2010 - i - j}$ in the expansion of $(a + b - c)^{2010}$ then

is defined for

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is defined for

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A_{(i, j)}

a^{i} b^{j} c^{2010 - i - j}

(a + b - c)^{2010}

A_{(i, j)}

a^{i} b^{j} c^{2010 - i - j}

(a + b - c)^{2010}

A_{(i, j)}

a^{i} b^{j} c^{2010 - i - j}

(a + b - c)^{2010}

\sum_{i = 1}^{n}_{i} = 0

∣ ∣_{i} ∣ ∣ = 1

i

\sum_{1 \leq i < j \leq n} \sum_{i}_{j}

n \sum i = 1 {\to a}_{i} = 0

∣ ∣ {\to a}_{i} ∣ ∣ = 1, \forall i,

\sum 1 \leq i < j \leq n \sum {\to a}_{i} . {\to a}_{j}

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