How many ways are there of arranging the 26 letters of the alphabet so that none of the words be, lap, scum, or third appear as consecutive letters in the arrangement? You do not need to explicitly evaluate your answer.

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

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Q: Sandra is writing an article and taking pictures for the school newspaper. She chooses three…

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Q: How many different 4 card hands can be dealt from a deck of 52 cards? The order of the cards does…

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Q: Miriam's art teacher presents her with five colors of paint but instructs her to use only three of…

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Q: You can answer any 19 questions from the 21 questions on an exam. In how many different ways can you…

A: Here it is given that the order is of no importance, we will use the combination rule here where we…

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

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Q: 1. Tina's music library has 72 rock songs and 51 pop songs. She is putting together a playlist of 22…

A: As we are entitled to solve one question at a time, I will answer first question, please submit…

Q: A jeweler selects 3 gems for a ring. The jeweler has: diamonds, sapphires, and emeralds. Let’s use…

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Q: Your car seats 5 people, including the driver. You have 4 friends who all do not have driver’s…

A: The objective of this question is to find out the number of different ways the 4 friends can arrange…

Q: At a math contest, 57 students are wearing blue shirts, and another 75 students are wearing yellow…

A: The total number of students at the math contest is: 132 students These 132 students is paired as 66…

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: Use the five sentences below to answer the question. Mark had told him about the foxes. John looked…

A: In this question we have to how many different five sentence paragraphs can be formed if the…

Q: Six men and eight women are to line up for a picture with the six men in the middle. How many ways…

A: Given that  Six men and eight women are to line up for a picture with the six men in the middle  How…

Q: You need to rank 2 types of coffee. How many ways are there to rank them?

A: The objective of this question is to find out the number of ways to rank two types of coffee.

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

Q: If Joe only has room for 2 of his 6 flags on his flagpole, how many different ways can they be…

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Q: I used the permutations formula to determine the number of ways the manager of a baseball team can…

A: Combination : Using combination set of n distinct items r number of way selected without…

Q: In a group of students, 100 students know Hindi, 50 know English and 25 know both. Each of the…

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Q: iven the data 6,10,8,5,11,6,7,12,11,11,9,6  write the expression you would use to find standar devia

A: the data 6,10,8,5,11,6,7,12,11,11,9,6Sample size n=12the standard deviation is gievn by

Q: in how many ways can the letters MANAGEMENT be arranged?

A: Total number of ways in which a word with n distinct letters can be arranged is n!But we see that…

Q: A class has 35 students. In how many different ways can five students form a group for an activity?…

A: According to the given information, we haveA class has 35 students.