Question 970886
It is asking to compute C(18,6)


C(n,r) = (n!)/(r!(n-r)!)


C(18,6) = (18!)/(6!*(18-6)!)


C(18,6) = (18!)/(6!*12!)


C(18,6) = (18*17*16*15*14*13*12!)/(6!*12!)


C(18,6) = (18*17*16*15*14*13)/(6!)


C(18,6) = (18*17*16*15*14*13)/(6*5*4*3*2*1)


C(18,6) = (13366080)/(720)


C(18,6) = 18564


So there are <font color="red">18564</font> ways to pick 6 people from a pool of 18. Order does not matter.