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Question
The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are ______.
Options
Equal
Equal with opposite signs
Reciprocal of each other
None of these
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Solution
The coefficient of xp and xq (p and q are positive integers) in the expansion of (1 + x)p + q are equal.
Explanation:
Coefficient of x p and x q in the expansion of (1 + x)p + q are p + qCp and p + qCq
And p + qCp and p + qCq = `("p" + "q")/(("p")("q"))`
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