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:
[tex]C_4^{10}=\frac{10!}{4!(10-4)!}=210[/tex]
Number of favorable combinations is 5.
Threfore, the probability is
P=5/210
P=1/42.
