A baseball manager wants to arrange 9 starting players into batting order. How many different batting orders are possible?

Q: A store is hiring 5 new stockers for their evening shift. 10 equally qualified students apply for…

A: Here we using the formula: The number of ways to select p people from a total of n people is:

Q: How many different license plates have the letters J-O in that order?

A: It is given that license plates consist of four digits from 0 to 9 followed by four letters.

Q: There are 15 qualified applicants for five trainee positions in a fast food management program. How…

A: Given, No.of applicants = 15 no.of trainee positions =5

Q: There are five pictures but only four display cases. The display cases are unique. How many…

A: The number of pictures is 5. The number of display cases is 4. The display cases are unique.

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: How many different ways can you pick four objects out of eight objects and arrange them in order?

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Q: Assume that 15 exhibits entered the science fair, and that we want to assign 3 prizes: first,…

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Q: If 6 persons are to be seated in round table with 6 chairs, how many ways can they be seated?

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Q: In a bag containing 5 white balls and 6 black balls, how many ways can we draw a white or a black…

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Q: A student organization of 12 wants to select a president, a vice-president, and a treasurer. How…

A: A student organization of 12 wants to select a president, a vice president, and a treasurer.i.e.…

Q: How many different ways can 5 calculators be arranged in the cabinet from a group of 15?

A: According to the combination rule, if r distinct items are to be chosen from n items without…

Q: How many ways are there to place 13 identical red balls into 7 numbered bins?

A: Given Data: The total number of red balls is: n=13 The total number of bins is: r=7 The number of…

Q: How many different arrangements of the letters in the word "number" can be made?

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Q: How many numbers are in the following list? There are numbers in the list. 9.25, 11.25, 13.25, ...,…

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Q: Mr. H has a collection of 500 vessels. In how many ways can he name his favorite and second favorite…

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Q: A coffee shop serves 14 different kinds of coffee drinks. How many ways can 5 different coffee…

A: The objective is to find the number of ways in which 5 different coffee drinks can be selected from…

Q: .Carmi is ranked 13th from right and 8th from left. How many students are there in total?

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Q: The following numbers of BX staples are used during a given period: 28, 250, 38, 108, 92, 130, 25,…

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Q: Your school principal wants to select a group of six students from your class of 15 students to…

A: Combination: A combination is a selection of items from a group of items, where the order of…

Q: On Halloween, a cartoon character, a bumble bee, a viking, a forest ranger, and a butterfly ring the…

A: here 6 people are in line and come one by one.  here order os selection matters  so this is case of…

Q: Determine the number of combinations that can be formed with 11 objects taken 7 at a time

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Q: How many ways can seven people line up at a ticket window?

A: There are 7 people. n=7

Q: Find the distinct number of arrangements of the letters in the word “academia” that begin and end in…

A: letters of word academia we have to arrange letters so that it begin and end with a.

Q: There are 10 different software packages from which to select. How many different groups of software…

A: Given: n=10 r = 3 The number of different groups of software packages that can be selected can be…

Q: Jay has 14 stat books. In how many different ways can he arrange 4 of them on a bookshelf?

A: Permutation is defined as an arrangement of objects in a definite order. The members or elements of…

Q: The Cincinnati Angry Unicorns is a local swimming team which currently has seventeen members. If…

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Q: A DJ is preparing a playlist of 21 songs. How many different ways can the DJ arrange the firstsix…

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Q: Mrs. Stevens wants to put her class of 26 students into groups of 5 for an upcoming project How many…

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Q: student organization of 40 wants needs three people to cover ticket sales at an event. How many…

A: Given n=40 x=3

Q: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

A: 8 people are trying out for 3 cheerleader spots on the team. In how many ways can this be done?

Q: A baseball team has 14 players. How many 9​-player batting orders are​ possible?

A: Given : A baseball team has 14 players.

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: A grocery pick-up service has 12 appointment openings one morning. If 8 customers have signed up…

A: Combinations: It defines the number of possible ways an object can be selected from a group. In…

Q: The St. Louis Fighting Octogenarians is a local baseball team which currently has nineteen members.…

A: Combination: The number of different selections of ‘r’ elements (order doesn’t matter) from a set…

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: A baseball team has 13   players. How many 9​-player batting orders are​ possible?

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Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

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