Answer:

So, we must get the possibilities of selecting form the given situation,

N = C(5, 2) * C(7, 5)

   = 5*4   *   7*6*5*4*3           (You may also use cancellation  here but since I

      2*1         5*4*3*2*1             don't have the tool to do that, I am just simply

   = 20    *    2,520                   multiplying and dividing the numbers.)

       2             120

   = 10 * 21

   = 210 ways

So, there 210 ways that a student can actually select his/her courses.