Basic Math question and answers for August 20, 2024
- Q In a certain lottery, you must correctly select 5 numbers (in any order) out of 36 to win. You purchase one lottery ticket. What is the probability that you will...
- Q Three students have to give a speech in class today. In how many different orders can they give their speeches?
- Q Determine whether the following problem involves a permutation or a combination and explain your answer.How many different 7-letter passwords can be formed from the letters S, T, U, W, X,...
- Q Expand the polynomial using the Binomial Theorem. (b + a)6b6 +6b6a+15b4a2 +15b2a4 +6ba6+a6a6+6a5b+ 20ab3 + 30a2b4+6ab5+b6b6+q6b6 +6b5a +6ba5+ a6a6+6a5b + 15a4b2+ 20ab3 + 15a2b4+6ab5+b6
- Q A restaurant offers the following limited lunch menu.Ham, Chicken, FishMain CoursesVegetablesPeas, Squash, Cauliflower, EggplantBeveragesCoffee, Tea, Milk, Soda, ShakesDessertsIce Cream, BrowniesIf one item is selected from each of the four groups,...
- Q Jamie is joining a music club. As part of her 4-CD introductory package, she canchoose from 12 rock selections, 10 alternative selections, 7 country selections and 5classical selections. If Jamie...
- Q Solve the problem by applying the Fundamental Counting Principle with two groupsof items.An apartment complex offers apartments with four different options, designated byA through D.A number of bedrooms (one through...
- Q Amy, Jean, Keith, Tom, Susan, and Dave have all been invited to a birthday party.They arrive randomly and each person arrives at a different time. In how many wayscan they...
- Q A restaurant offers a choice of 4 salads, 10 main courses, and 4 desserts. How manypossible 3-course meals are there?A) 18B) 40C) 160D) 320
- Q You are taking a multiple-choice test that has 7 questions. Each of the questions has 5 answer choices, with one correct answer per question. If you select one of these...
- Q In the following exercises, does the problem involve permutations or combinations?Explain your answer. It is not necessary to solve the problem.How many different user ID's can be formed from the...
- Q In the board game Clue, the object of the game is to determine the which character is the murderer, which weapon was used and in which room the murder took...
- Q How many different ways could three distinct days of the week be chosen so that at least one of them begins with the letter StThe number of ways is(Simplify your...
- Q 2. Does the problem involve permutations or combinations?.The matching section of an exam has 3 questions and 7 possible answers. In how manydifferent ways can a student answer the 3...
- Q You need to create a new password for your school account. It needs to be of the form: 4 numbers (0-9)followed by 3 letters. The numbers can repeat. The letters...
- Q If there are n? of type 1, n? of type 2, and so on, for r different types, then the number of distinguishable permutations is calculated using the following formula.A...
- Q In a race in which eight automobiles are entered and there are no ties, in how many ways can the first three finishers come in?There areways for the first three...
- Q Evaluate the expression.12P312P3 =(Simplify your answer.)
- Q An ice cream store sells 26 flavors of ice cream. Determine the number of possible 6-dip sundaes.How many 6-dip sundaes are possible if order is to be considered, and no...
- Q If the n objects in a permutations problem are not all distinguishable-that is, ifthere are n? of type 1, n? of type 2, and so on, for r different types-then...
- Q Find the value of 7C3O 240 210O 35O 5,040
- Q A person going to a party was asked to bring 2 different bags of chips. Going to the store, she finds 12 varieties. How many different selections can she make?
- Q Model with Math Joy added 26 new contactsto her phone list. She now has a total of100 contacts. Let c represent how many contactsJoy had on her phone list before...
- Q Use permutations to solve.In a club with 24 members, how many ways can the club elect a president and a treasurer?Substitute values into the formula for npr.
- Q A pizza parlor offers a choice of 12 differenttoppings. How many 5-topping pizzas are possible?(no double-orders of toppings are allowed)Your answer is: possible pizzas
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