william submitted 4 recipes to a competition. There were 35 recipes entered in the competition, and 5 judges. Each judge is randomly assigned 5 recipes to test.

What is the expression that represent the probability that the first judge is assigned all of william recipes ?

Question

william submitted 4 recipes to a competition. There were 35 recipes entered in the competition, and 5 judges. Each judge is randomly assigned 5 recipes to test.

What is the expression that represent the probability that the first judge is assigned all of william recipes ?

kropot72 · Answer

Required probability is given by:
$$\frac{31}{35C5}=\frac{5\times4\times3\times2}{35\times34\times33\times32}$$