Eleven friends stand in front of an elevator that has a maximum capacity of 10 people, so up to 10 of the friends may enter. How many possible outcomes are there to determine which friends enter the elevator? (Note: 0 friends entering the elevator is possible.)
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.
Eleven friends stand in front of an elevator that has a maximum capacity of 10 people, so up to 10 of the friends may enter. How many possible outcomes are there to determine which friends enter the elevator? (Note: 0 friends entering the elevator is possible.)
Please explain with formula or theorem to better understand
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