A 4-person grievance committee is to be selected out of 2 departments, A and B, with 12 and 30 people, respectively. In how
many ways can the following committees be selected? Complete parts (A) through (E) below. (A) 3 from A and 1 from B 6600 (B) 2 from A and 2 from B 28710 (C) All from A 495 (D) 4 people regardless of department 111930 (E) At least 3 from department A nothing
Let us try and solve it analytically. We have that the side=x+3 together with the short side=s and the diagonal=x+4 satisfy the Pythagorean Theorem. Then we have that . This yields which yields s^2=2x+7, hence a) is the correct answer.
. This yields 
