Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities -4 <= x <= 5 and 6<= y<= 16. How many different triangles with these properties could be constructed?
Choose the correct choice from the following: A) 110 B) 1,100 C) 9,900 D) 10,000 E) 12,100
P can take a total of 10*11 co-ordinates.   for a given P, R can take a total of 9 co-ordinates and Q can take a total of 10 co-ordinates.   Hence, total = 110*9*10= 
<gadget id="calculator">110*9*10</gadget>
<output>9_900</output>
9900   ANS:9,900
<result>C</result>
Right triangle PQR is to be constructed in the xy-plane so that the right angle is at P and PR is parallel to the x-axis. The x- and y-coordinates of P, Q, and R are to be integers that satisfy the inequalities -4 <= x <= 5 and 6<= y<= 16. How many different triangles with these properties could be constructed?