10 people is choosing a chairperson and vice chairperson
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 group of 10 people is choosing a chairperson and vice chairperson. They put all 10 peoples names in a hat. The first name drawn become chair. The second name drawn becomes vice chair. How many possible combinations golf chair and vice-chair are there?
Given that
A group of 10 people = (n)=10
We have to select two people from total 10 people. (chairperson and vice chairperson)
The first name drawn become chair and The second name drawn becomes vice chair.
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