Count the number of arrangements of 5 distinct letters of the alphabet such that * the letters b, d, m, w, z are not used and  * if the letter c is the first letter in the arrangement m, then the letter a is second and the letter t is third

Q: An oil company is going to issue new ID codes to its employees. Each code will have one letter,…

A: We have given that We have 22 letters (expect W,X,Y,Z) And 10 digits

Q: Createadotplotforthefollowingsetofdata: {2,2,2,3,4,5,5,5,5,5,7,8,8}

A: Step 1: Draw and label a vertical line with a title and a scale. This should include the smallest…

Q: There are 12 women running in a race. How many different ways   could first, second and third prize…

A: The first winner can occur in 12 ways, the second winner can occur in (12-1)=11 ways, the third…

Q: How many distinct arrangements of the letters in the word “footballers” are possible?

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Q: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

A: License plate tags in a particular state are to consist of 3 letters followed by 4 digits with…

Q: As the project manager of a project, you are in charge of a team of seven people which includes…

A:

Q: ur car leasing agency has 12 red and 15 blue cars in stock. In how many ways can an 11-car group be…

A: given data, 12-red 15-blue27-total carsan 11-car group be selected consisting of seven red and four…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: If 4 marbles are pulled from the bucket, determine the number of different 4-sets of marbles that…

A: There are 13 marbles which contains 8 red ad 5 blue marbles. (i)When 4 marbles are pulled, where 2…

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

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Q: There are 11 goldfish in a fishpond. In how many ways can 5 be chosen to be moved to another…

A: →Whenever, we have to select r things without knowing order of selection    from n things , then…

Q: Draw an ordered stemplot of these scores: 22, 32, 34, 30, 28, 19, 26, 18, 19, 20. List the 'leaves'…

A: Ordered data x 18 19 19 20 22 26 28 30 32 34

Q: Parents are having twin babies and have put 10 unique name cards in a bowl. * When the first baby is…

A: It has been provided that the parents having twin babies and 10 unique name cards in bowl.For the…

Q: Consider the 7 letters A, B, D, E, F, G and O. How many 3-letter words can be formed from the 7…

A: Hi, thanks for posting the question. Since there is more than one question posted. We will answer…

Q: A passcode consists of 3 characters chosen from 3 categories: the alphabet, the digits, and the 9…

A: Given,no.of symbols=9no.of alphabets(A to Z)=26no.of digit (0 to 9)=10

Q: how many subsets does {8,9,10,11,12,14,15,16} have?

A: Using

Q: How many different three-letter arrangements can be formed using the letters A, B, C, and D if…

A: The given problem is a question about permutations, a fundamental concept in combinatorics, a branch…

Q: Suppose 58 cars start at a car race. In how many ways can the top 3 cars finish the​ race?

A: We have to find no of  ways can the top 3 cars finish the​ race...

Q: How many arrangement of 8 letters taken from 5 vowels and 21 consonants can be made if there has to…

A: 21 consonants and 5 vowels. Given condition, 8 letter words using 5 consonants and 3 vowel.…

Q: A president and a treasurer are to be chosen from a student club consisting of 50 people. There are…

A: From the given information, there are 50 people. A president and treasurer are chosen from a student…

Q: How many 7 letter words can be made from the letters WASTFUL if repetition of letters is allowed?

A:

Q: A person ordering a certain model of car can choose any of 9 colors, either manual or automatic…

A: A person is ordering a car, such that  there are 9 possible ways to choose colors, two ways to…