BUSI 230 HW 5.4 Counting Assignment solutions complete answers
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Evaluate the expression.
Evaluate the permutation.
Evaluate the combination.
Pizza time: A local pizza parlor is offering a half-price deal on any pizza with one topping. There are six toppings from which to choose. In addition, there are four different choices for the size of the pizza, and three choices for the type of crust. In how many ways can a pizza be ordered?
License plates: In a certain state, license plates consist of five digits from 0 to 9 followed by three letters. Assume the numbers and letters are chosen at random. Replicates are allowed.
(a) How many different license plates can be formed?
(b) How many different license plates have the letters J-O in that order?
(c) If your name is Jo, what is the probability that your name is on your license plate?
(c) If your name is Jo, what is the probability that your name is on your license plate? Write your answer as a fraction or a decimal, rounded to at least 5 places.
(b) How many different license plates have the letters T-O-M in that order?
(b) How many different license plates have the letters K-E-M-P in that order?
Committee: The Student Council at a certain school has ten members. Four members will form an executive committee consisting of a president, a vice president, a secretary, and a treasurer.
In how many ways can these four positions be filled?
In how many ways can four people be chosen for the executive committee if it does not matter who gets which position?
Four of the people on Student Council are Zachary, Yolanda, Xavier, and Walter. What is the probability that Zachary is president, Yolanda is vice president, Xavier is secretary, and Walter is treasurer? Round your answers to at least 6 decimal places.
What is the probability that Zachary, Yolanda, Xavier, and Walter are the four committee members? Round your answers to at least decimal places.
