In how many ways can the letters in "MATH IS FUN" be arranged if the first and last letter must be vowels? 2. How many quadrilaterals can be formed 10 points such that no three points are collinear? 3. In a contest, there are 24 ways to choose the winners of the champion, the first runner up, and the second runner up. How many contestants are ther
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.
1. In how many ways can the letters in "MATH IS FUN" be arranged if the first and last letter must be vowels?
2. How many quadrilaterals can be formed 10 points such that no three points are collinear?
3. In a contest, there are 24 ways to choose the winners of the champion, the first runner up, and the second runner up. How many contestants are there?
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