Two classrooms A and B having capacity of 25 and \( (n-25) \) seats respectively. \( A_{n} \) de...

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Two classrooms A and B having capacity of 25 and \( (n-25) \) seats respectively. \( A_{n} \) denotes the number of possible seating arrangements of room A, when n students are to be seated in these rooms, starting from room A which is to be filled up full to its capacity. If \( A_{n}-A_{n-1}=25 \) ! \( \left({ }^{49} C_{25}\right) \) then n equals -
(A) 50
(B) 48
(C) 49
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