4. Nelson is selling his photographs at an art festival. The festival is open for 6 hours each day for 3 days. At the conclusion of the festival, Nelson has sold 54 photographs. Determine the number of photographs Nelson sold per hour. 5. Clayton wants to purchase tickets for the rides at a carnival. He can choose to purchase tickets individually, or he can purchase a ticket package. The package includes 25 tickets for $18.75. Determine the cost per ticket if he purchases the package. 6. Tameca is planning a hiking trip. The trail she would like to follow is 7.5 miles long. She plans to start her hike at 10:00 am. She hopes to reach the end of the trail at 3:00 pm. Determine the number of miles per hour that Tameca plans to hike.
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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