While selecting candy for students in his class, Professor Murphy must choose between gummy candy and licorice nibs. Gummy candy packets come in three sizes, while packets of licorice nibs come in four. If he chooses gummy candy, he mus select gummy bears, gummy worms, or gummy dinos. If he chooses licorice nibs, he must choose between red and black. How many choices does he have? HINT ISee Example 2.1
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.
![While selecting candy for students in his class,
Professor Murphy must choose between gummy
candy and licorice nibs. Gummy candy packets
come in three sizes, while packets of licorice nibs
come in four. If he chooses gummy candy, he must
select gummy bears, gummy worms, or gummy
dinos. If he chooses licorice nibs, he must choose
between red and black. How many choices does he
have? HINT [See Example 2.]](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F26b9cb2a-9d63-4736-beeb-69d97b0769de%2Fa11e2fbf-4827-4956-b728-f22c31e01b13%2Fpi2asus_processed.jpeg&w=3840&q=75)
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