Pamela is serving plates of vegetables at a homeless shelter. SHe has 30 carrot sticks and 45 baby potatoes that she wants to divide evenly with no food left over. What is the greatest number of plates pamela can prepare?
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.
Pamela is serving plates of vegetables at a homeless shelter. SHe has 30 carrot sticks and 45 baby potatoes that she wants to divide evenly with no food left over. What is the greatest number of plates pamela can prepare?
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