Question 1143090
<br>
We need to choose...
(a) 1 of the 4 teachers: C(4,1)
(b) 2 of the 3 lawyers: C(3,2)
(c) 2 of the 5 doctors: C(5,2)<br>
By the fundamental counting principle, the total number of ways is the product of those numbers.<br>
{{{C(4,1)*C(3,2)*C(5,2) = 4*3*10 = 120}}}