Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 4 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?
Select the correct option.
A) 396
B) 1260
C) 1540
D) 7920
E) 15840
As the rectangle is parallel to coordinate axes, the coordinates of the points of the rectangle would be   (X1, Y1), (X2, Y1), (X2, Y2), (X1,Y2)   given that X1, X2 lie between 4 and 11..ie., 8 possible numbers   Possible combinations for X1,X2 would be 8C2 = 28   Similarly, Possible combinations for Y1, Y2 would be 11C2 = 55   Possible ways of constructing rectangle is by selecting any of the combination of X1,X2 and Y1,Y2   = 28 * 55= 
<gadget id="calculator">28 * 55</gadget>
<output>1_540</output>
1540   Ans. 1540
<result>C</result>
Rectangle ABCD is constructed in the coordinate plane parallel to the x- and y-axes. If the x- and y-coordinates of each of the points are integers which satisfy 4 ≤ x ≤ 11 and -5 ≤ y ≤ 5, how many possible ways are there to construct rectangle ABCD?