3) A small New Jersey shore town is holding elections for Mayor, Chief of Police and Town Clerk. There are 5 candidates for Mayor, 4 candidates for Chief of Police and 6 candidates for Town Clerk. How many different election outcomes are possible? (No one is running for more than one office)
Permutations and Combinations
If there are 5 dishes, they can be relished in any order at a time. In permutation, it should be in a particular order. In combination, the order does not matter. Take 3 letters a, b, and c. The possible ways of pairing any two letters are ab, bc, ac, ba, cb and ca. It is in a particular order. So, this can be called the permutation of a, b, and c. But if the order does not matter then ab is the same as ba. Similarly, bc is the same as cb and ac is the same as ca. Here the list has ab, bc, and ac alone. This can be called the combination of a, b, and c.
Counting Theory
The fundamental counting principle is a rule that is used to count the total number of possible outcomes in a given situation.
![2) A certain virus causes illness in 18 out of every 100 people it infects. Of the people
who do become ill, 50% of those require medical attention.
What is the probability that an infected person will become ill and will require medical
attention?
3) A small New Jersey shore town is holding elections for Mayor, Chief of Police and
Town Clerk. There are 5 candidates for Mayor, 4 candidates for Chief of Police and 6
candidates for Town Clerk. How many different election outcomes are possible?
(No one is running for more than one office)
4) One hundred people were asked, "Do you prefer remote classes?". Of the 63 that answered
"yes" to the question, 14 were male. Of the 37 that answered "no" to the question, 6 were male.
a) If you were to choose one of those asked at random, what is the probability that this
person answered "yes" or was a male?
b) If 1 person is selected at random, what is the probability that that person answered "no"
and is female?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2d150668-c87f-4411-ac06-a9b3eaf64cea%2F8abcbda6-3cf5-475a-b382-d6fade5bc303%2Fznf3l8r_processed.jpeg&w=3840&q=75)
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