There are 6 candidates for Student council president, 3 candidates for vice - president, and 4 candidates for treasurer. In how many different ways can a president, vice- president and treasurer be chosen? Pres v- P Treas. ways
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.
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There are 6 candidates for Student council president, 3 candidates for vice - president, and 4 candidates for treasurer. In how
many different ways can a president, vice- president and treasurer be chosen?
Pres
V- P
Treas.
ways
In some states you can choose a personalized license plate. Find how many different personalized license plates are possible if
the plate has 3 digits followed by 2 letters. (Note: Digits 0-9; 26 letters in the alphabet)
digit
digit
digit
letter
letter
There are a total of license plates.
O 125 000
32,000
256
O 676,000"
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