A committee has 1919 members. A subcommittee of 55 members must be chosen for a subcommittee. In how many ways can the 55 members be chosen for a subcommittee from the 1919 members? Levi has 1414 books on his summer reading list. He wants to choose 66 books to read over the summer. In how many ways can he choose the books?
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.
Evaluate the following Combinations. Check your results using the prb button on your calculator. |
A committee has 1919 members. A subcommittee of 55 members must be chosen for a subcommittee. In how many ways can the 55 members be chosen for a subcommittee from the 1919 members? |
Levi has 1414 books on his summer reading list. He wants to choose 66 books to read over the summer. In how many ways can he choose the books? |
Some friends are playing a game that requires each person to receive 66 cards from a 52 card deck. How many different 66 card hands are possible? |
An organization had 1212 employees. There are 88 female employees and 44 male employees. How many teams of 55 people can be chosen where there are 33 women and 22 men? |
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