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Q: How many five-letter passwords can be formed from the letters {A, B, J, K, X, Z} under the following…

A: Given letters {A,B,J,K,X,Y}   a)Number of 5-letter word with repetition is =6×6×6×6×6=7776 ways

Q: Car Engines In an eight-cylinder V8 engine, the even-numbered cylinders are on the left and the…

A: a) There are 8 firing engines. Name them as 1,2,3,4,5,6,7,8.   Even number cylinders are  2,4 ,6 and…

Q: In a certain year, 58% of all Caucasians in the U.S., 54% of all African-Americans, 56% of all…

A:

Q: Detalls A pizza parlor offers a choice of To umerent toppings. How many 5-topping pizzas are…

A: Given that,  A pizza parlor offers a choice of 10 toppings.

Q: 14. I there are 31 flavors How many different ways can you choose 2 scoops, if you can also have 2…

A: 14) Given that both scoops will be of the same flavor. So we have to select a flavor from the 31…

Q: 5. In how many ways can the letters of the word REFERENCE be arranged?

A: We will find out the required number of ways.

Q: A donur Store sells hom donuts without holes. For out of к boxes of donuts n donuts and donuts of…

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Q: We can use a I to help identify all possible combinations.

A: Permutation is used for specific order arrangement while combination is does not cares order of…

Q: An instructor gives an exam with twelve questions. Students are allowed to choose any nine to…

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Q: A committee is to consist of a chair, four hagglers, and five do-nothings. The committee is formed…

A: The given data: The committee consists of  : 1 chair  four hagglers  five do -nothings Total number…

Q: Winning the jackpot in a particular lottery requires that you select the correct five numbers…

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Q: How many ways. row if none ave there for n COUPICS to sit sit together. of the couples in a

A: We have n couples , that is, 2n people in total. Number of ways to seat n couples , so that the…

Q: Prove the following using a proof by contradiction: The average of four real numbers is greater than…

A: Method of contradiction means we assume opposite to the facts to be proved and then we contradict…

Q: (a) How many different programs (in terms of order) can be arranged? There are 6227020800 different…

A: Given data in the problem isnumber of bands = 7number of comics = 6 We have to perform student…

Q: How many three-letter sequences are possible that use the letters q, u, a, k, e, s at most once…

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Q: Suppose 82 jelly beans are distributed among 9 kids, with some kids possibly getting none. Fill in…

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Q: If Pn denotes the predicted number of speeding tickets during the year 2012 + n, then Write the…

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Q: A poker hand consists of five cards from a standard deck of 52. (See the chart preceding Example 8.)…

A: To find: Number of different poker hands of  Two of a kind (two of one denomination and three of…

Q: Evaluate each expression. P(5, 0)

A: Given formula P(n, k)=n!(n-k)! we need to find  P(5, 0)=?

Q: A student draws several cards from a deck of 10 unique cards. Which of these statements are true?…

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Q: Assume a class has 28 members. a. In how many ways can a president, a vice president, and a…

A: Total number of member in class=28

Q: Inspecting Restaurants How many different ways can a city health department inspector visit 4…

A: In counting principles, to select m objects out of n objects is mPnwhere P stands for permutation if…

Q: ppose you want to type sequences of vowels (that is, the letters a, e, i, o d u). However, the e key…

A: Given  the number of sequences of length   (i) Find (ii) Write a second-order difference equation…

Q: How many multiples of 11 are in the set {1, 2, 3, .., 901}?

A: To find the number of multiples of 11 are in the set {1, 2, 3, ..., 901}, we use the following…