Question

The student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. If the members are randomly assigned to the positions, what is the probability that the President is a Senior?

Answer 1

Answer:

P=1/42.

Step-by-step explanation:

We know that the student council has 10 members where 5 of the members are Seniors. They need to choose a President, Vice President, Secretary and Treasurer. We calculate the probability that the President is a Senior:

We calculate the number of possible combinations:

$C_4^{10}=\frac{10!}{4!(10-4)!}=210$

Number of favorable combinations is 5.

Threfore, the probability is

P=5/210

P=1/42.