03/11/2020 W5 Application Assignment A combination lock will open when you select the right choice of three numbers. How many possible lock combinations are there, assuming you can choose any number from 0 and 35? a) Assume the numbers must be distinct. b) Assume they may be the same.

Q: How many passwords with 5 letters without repetition can be made from letters a,b,c,d,e,f,g,h,I,j

A: Solve using permutations

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Q: A dinner club has 30 members. At a particular dinner, every club member gets to order exactly 3…

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A: To Determine :-  Situations based questions.

Q: For a local baseball team, there are 15 players on your team.  Your team is allowed to have 12…

A: (a) Total number of players in a team, n =15 Number of active players, r =12 The number of ways you…

Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A: Given: There are total 11 candidates and 3 positions.

Q: Management selection. A corporation plans to fill 2 different positions for vice-president, V, and…

A: Total number of officers=5+8=13. V1 and V2 posts can be filled in 13C2 ways. Therefore , Total…

Q: Sixteen people on a baseball team show up for a game. A.) How many ways are there to choose 10…

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Q: A garage has a letter-keypad lock with the eight letters A,B,C,D,E,F,G,H. The keypad can be…

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Q: system of identifying call letters using call letters that begin with either O or D some have a…

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Q: 2. Darwin served yogurt in his party. Guests may choose one of three flavors. Then, they may select…

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Q: 5. Forming a committee from members of a club does not show an important arrangement. How can you…

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Q: company has two identical openings and is choosing among six applicants. Find how  many ways there…

A: Given data, No of applicants n=6 No of openings =2 Find how many ways there are to fill two…

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Q: A baseball pitcher threw 3678  pitches during part of a recent season. Of these, 1681 were thrown…

A: From the given information,In a baseball,Total number of pitches (N) =3678Number of no strikes(X) =…

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Q: Using the digits 0, 1, 2, ...8, 9, determine how many 4-digit lock combinations are possible…

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Q: Ordering a pizza with thick crust or thin crust with à choice of ham, bacon, sausage, or mushrooms…

A: (As per bartleby guidelines, for questions containing multiple subparts, only first three subparts…

Q: In 1987, the U.S government ordered the capture the remaining 27 wild California Condors. They were…

A: Number of condors in year 1987=27 number of condors in year 1991=40, they were all tagged. After few…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

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Q: The Honest Lock Co. plans to introduce what it refers to as the “true combination lock.” The lock…

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Q: Determine whether each situation involves a permutation or a combination. then find the…

A: 1. It involves permutation and the possibility is 10P3  = 720

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Q: The Honest Lock Co. plans to introduce what it refers to as the “true combination lock.” The lock…

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Q: A fruit grower packs apples in boxes. Each box contains at least 220 apples and at most 231 apples.…

A:

Q: 5) How many different passwords are possible? If a cell phone's password consists of eight…

A: Given: Considering 0 to 9, there are 4 even numbers and 4 odd numbers. In alphabets there are total…

Q: Assume that X={A,F,G,D,C} and Y={6,1,4,2,3}. A code consists of 4 different symbols selected from X…

A: X={A,F,G,D,C} Y={6,1,4,2,3}. Selwct 4 from x without replacementfollowed by 2 from y with…

Q: Uning the digits 5, 6, 7, 8. How many 4 digit numbers can be formed (Repetition not allowed).

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Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A: Permutation Rule: The ordered arrangement of r objects from n different objects is given by:

Q: List all the ways to select two members from S with repetition, The order in which the members are…

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Q: A combination lock will open when you select the right choice of four numbers (from 1 to 40,…

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Q: "The RBC Heritage Classic Foundation license plate is available to anyone with a vehicle registered…

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Q: List all the ways to select two members from S with repetition. The order in which the members are…

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Q: Using the digits 0,1,2,...8,9 determine how many 3 digits numbers can be constructed according to…

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Q: The Honest Lock Co. plans to introduce what it refers to as the “true combination lock.” The lock…

A:

Q: There are three nursing positions to be filled at Lilly Hospital. Position 1 is the day nursing…

A:

Q: 22. Suppose you have a 500-piece jigsaw puzzle showing the Ànec of Catalonia. To put it together,…

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Q: Management selection. A corporation plans to fill 2 different positions for vice-president, V, and…

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Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.