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Number of ways in which 3 numbers in A.P. can be selected from \( 1,2,3, \ldots . . \mathrm{n} \) is :
(A) \( \left(\frac{\mathrm{n}-1}{2}\right)^{2} \) if \( \mathrm{n} \) is even
(B) \( \frac{\mathrm{n}(\mathrm{n}-2)}{4} \) if \( \mathrm{n} \) is odd
\( \mathrm{P} \)
(C) \( \frac{(n-1)^{2}}{4} \) if \( n \) is odd
(D) \( \frac{\mathrm{n}(\mathrm{n}-2)}{4} \) if \( \mathrm{n} \) is even
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