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Question
The total number of terms in the expansion of \[\left( x + a \right)^{100} + \left( x - a \right)^{100}\] after simplification is
Options
202
51
50
none of these
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Solution
51
Here, n, i.e., 100, is even.
∴ Total number of terms in the expansion =\[\frac{n}{2} + 1 = \frac{100}{2} + 1 = 51\]
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