45. If (a + 1)(a + 2)(a + 3) (a + m) + 1 is a
perfect square where a and m are any
natural numbers, then find the value
of (m + 1) (m + 2) (m + 3) (m + 4).
(A) 3024
(B) 1680
(C) 360
(D) 24
(E) None of these​