Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?
Choices:
A) 1/30
B) 1/15
C) 2/15
D) 1/3
E) 2/3
since ben is out and edward is in, we are looking for remaining 3 players...   danny and frank are also in with fourth seat between alan /charles...   so total ways of selection of his desired team=2*4!..   total ways of selecting 4 out of 6=6*5*4*3= 
<gadget id="calculator">6*5*4*3</gadget>
<output>360</output>
360   prob=2*24/360=2/15   ans C... 2/15
<result>C</result>
Coach John has to form a team of 4 players to be selected from a pool of 6 players: Alan, Ben, Charles, Danny, Edward and Frank. John does not want Ben on the team but definitely wants Edward. Also, John does not want Alan and Charles on the same team. If John makes a random selection of 4 players, what is the probability that he will have a team that fulfills his criteria?