The first 3 terms in one row in the Pascals triangle are 1, 10, and 45. Determine the next two terms in this row. Did I do this right.10C4=210 and 10C5=252

You are one term ahead of yourself

C(10,0) = 1
C(10,1) = 10
C(10,2) = 45
so you want
C(10,3) and C(10,4) which are 120 and 210