In each problem, please indicate what kind of permutations is involved, then solve. Show your complete solution. 1. The view of Sampaloc Lake is a very nice background to take pictures of. How many ways can 5 friends arrange themselves in a row for taking pictures? 2. How many different arrangements are possible with all the letters of the word GOOGLE? 3. In how many ways can 5 people be seated around a circular table? 4. Seven runners join a race. In how many possible ways can they be arranged as first, second and third? 5. If there are 10 people and only 6 chairs are available, in how many ways can they be seated?

Q: Identify the problem whether a Permutation or Combination. Write the given of the problem and solve…

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Q: How many distinct permutations can be made from the letters of the word POSTPONEMENT?

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Q: By hand please. show step-by-step: A group of four students is to be chosen from a 35-member class…

A: Given data: Total student = 35 4 = students to be chosen To find: How many ways can this be done?

Q: Officer Milton visits local area businesses as part of a theft preventioh program. If Officer Milton…

A: No of week in a year =52

Q: 3. Suppose you are ordening a calzone You want to distinct toppings chosen from their list of 13…

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Q: Six people attend a party.  If each person at the party shakes hands with everyone else, how many…

A: HAND SHAKE PROBLEM: In the hand shake problems, if there are n+1 people available and every person…

Q: In how many ways can 20 different pizza toppings be chosen from 22 available toppings? ways to…

A: From the provided information,20 different toppings be chosen from 22 available toppings.

Q: of cookies. To thank your math professor for doing such an amazing job all semester, you decide to…

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Q: How many ways are there to arrange the letters in the word OHIO? Number

A: Note: According to our guidelines we can answer only first question and rest can be reposted.

Q: You were tasked to draw using computer-aided drafting to draw eight different buildings along a…

A: In question, We'll find that in how many ways we draw 8 different buildings along a single line. The…

Q: A class consists of 12 students ​(six boys and six ​girls) and one teacher. In how many ways can the…

A: Here there is a class consists of 12 students where there is 6 boys and 6 girls and 1 teacher We…

Q: A wheel is divided evenly into 5 compartments. Each compartment can be painted red, white, or blue.…

A: There is a wheel which is divided into 5 compartments. There are three colors- red, white or blue-…

Q: Consider a standard 52-card deck of cards. a. How many different four-card hands are there? b. How…

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Q: Find the number of way to arrange the letters in the word ESTRANGEMENT, if identical letters must be…

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Q: B. Illustrate the Combination of an object, by listing all the possibilities. 1. Choosing 2 books…

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Q: 4) You want to know if an octopus (octopi are very intelligent!) can tell the difference between…

A: To determine whether the octopus can tell the difference between circles and rectangles based on the…

Q: B Solve. Nine points lie on a circle. How many inscribed triangles can be formed? A volleyball team…

A: r items out of n items can be selected in Crn ways. The explanation of Crn is as follows:…

Q: How many ways can first and second ?place be awarded to 9 racers

A: The possible arrangement of n things is calculated for r times using permutation with replacement.…

Q: a. How many ways can the letters of the word BECOMING be arranged in a row? b. How many ways can the…

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Q: that at least one yellow crayon is included

A: In crayon box contains 2 green, 3 yellow and 4 blue crayons.

Q: In how many ways could 5 chocolate bars be choosen from a display of 10 chocolate bars? a. 50 b.…

A: Given No.of chocolate bars in display(n)=10No.of chocolate bars to be choosen(r)=5

Q: Suppose you want to get a license plate. The license plate has to have 3 letters without repetition,…

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Q: oject 2: Number Patterns, p. 5 Block Patterns il thu 102ad letter be? lotim bet The 25Show how you…

A: We have to find the number of blocks In nth figure.

Q: .A grocery store receive the package of 950 kiwis .some of the kiwis are arranged equally in 33…

A: The following information is given in the question:-  Total number of kiwis = 950Number of boxes =…

Q: 1. How many ways can you arrange 4 people in a row? 36 O 24 16 O 120

A: We know that  We can arrange n people  n!= n×(n-1)×(n-2) .........2×1

Q: How many ways can 6 people be seated in a round table if a. persons A and B must sit next to each…

A: The number of ways in which n different objects can be arranged, is given by n!, where,…

Q: 3. Jason observed a series of circles and saw the following pattern. What color will the next circle…

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Q: A local children's center has 52 children enrolled, and 6 are selected to take a picture for the…

A: Total number of children = 526 are selected to take a picture for the center's advertisement.

Q: Tell wether each problem represets a permutation or a combination. Then solve the problem. Brandon…

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Q: If Billy's height is half the width of the pool, what is the volume of water (in cubic feet) the…

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Q: In how many pieces can you cut a board with 15 cuts

A: We know that; The max possible pieces will be = 15C2 +1 As the piece will be equal to choosing any 2…