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Question

If ni=1ai=0 where ai=1 for all i then the value of 1i<jnaiaj is

A
n2
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B
n
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C
n2
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D
n
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Solution

The correct option is B n2
ni=1ai=0
(ni=1ai).(ni=1ai)=ni=1ai2+2n1i<jnai.aj
1i<jnai.aj=n2

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