Six men and six women line up at a checkout counter in a store. Find the probability that the first person in line is a woman and the line alternates by gender. Write your answer as a simplified fraction. The probability of that the first person in line is a woman and then alt
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.
Six men and six women line up at a checkout counter in a store.
Find the
Write your answer as a simplified fraction.
- The probability of that the first person in line is a woman and then alternates by gender is
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