Name: ___________________________________________________________ Date: __________________________ Period: ______ Section3-Extension Practice: Applications of Permutations, Combinations, and Multiplication Principle Simplify the given expressions: 14! 20C5 50P3 50P4 In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter code? A lottery has 52 numbers. In how many different ways can 6 of the numbers be selected? (Assume that order of selection is not important). A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted? Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main dish, a vegetable dish, and two different desserts. The astronauts can choose from 10 main dishes, 8 vegetable dishes, and 13 desserts. How many different meals are possible? Stacey uses an ADT home security system that has a code consisting of four digits (0,1,…9) that must be entered in the correct sequence. The digits can be repeated. How many different possibilities are there? If it takes a burglar 5 seconds to try a code, how many hours would it take to try every possibility?
Name: ___________________________________________________________ Date: __________________________ Period: ______ Section3-Extension Practice: Applications of Permutations, Combinations, and Multiplication Principle Simplify the given expressions: 14! 20C5 50P3 50P4 In how many ways can the letters A, B, C, D, E, and F be arranged for a six-letter code? A lottery has 52 numbers. In how many different ways can 6 of the numbers be selected? (Assume that order of selection is not important). A landscaper wants to plant four oak trees, eight maple trees, and six poplar trees along the border of a lawn. The trees are to be spaced evenly apart. In how many distinguishable ways can they be planted? Space shuttle astronauts each consume an average of 3000 calories per day. One meal normally consists of a main dish, a vegetable dish, and two different desserts. The astronauts can choose from 10 main dishes, 8 vegetable dishes, and 13 desserts. How many different meals are possible? Stacey uses an ADT home security system that has a code consisting of four digits (0,1,…9) that must be entered in the correct sequence. The digits can be repeated. How many different possibilities are there? If it takes a burglar 5 seconds to try a code, how many hours would it take to try every possibility?
Section3-Ext-Practice.docx