In probability problems like this one, the combination and fundamental counting principles are applied. The fundamental counting principle follows that if the are 'a' ways of choosing object 1, and 'b; way of choosing object 2, the total ways would be a*b. The combination problem is when 'n' objects are taken 'r' at a time, or written conveniently as nCr. Combining these two would be:
Project Manager x System Analyst x Programmers
2C1 x 4C1 x 6C3 = 160 ways
Note: nCr can be solved easily using the scientific calculator using the nCr button. But basically nCr can be manually solved using the formula [tex] \frac{n!}{r!(n-r)!} [/tex]
