A quiz has two problems. The first problem has 13 choices, out of which one is correct. The second problem has 3 choices, out of which one is correct. How many possible ways are there to answer the quiz?
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.
A quiz has two problems. The first problem has 13 choices, out of which one is correct. The second problem has 3 choices, out of which one is correct. How many possible ways are there to answer the quiz?
Given data,
Number of choices for first problem=13
Number of choices for second problem=3
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