15. Sports Car Stripes How many different 4-color code stripes can be made on a sports car if each code consists of the colors green, red, blue, and white? All colors are used only once.

Q: In a certain country, area codes have four digits and are subject to the following restrictions. The…

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Q: How many ways can president, vice president, secretary, and treasurer be determined in a club with…

A: 13 members are there.   How many ways can president, vice president, secretary, and treasurer be…

Q: A bag contains four red marbles, three green ones, one lavender one, three yellows, and one orange…

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Q: 5 blue, 2 red, and 3 green books can be arranged how many ways if books of the same color are…

A: We have given that Number of blue books = 5  Number of red books = 2 Number of green books = 3

Q: 3. My parents just started their digital music collection. If they have put cd's by 4 different…

A: 3) Given, Parents have put cd's by 4 different groups on their mp3 player. We have to find how many…

Q: How many different two-digit numbers can you form using the digits 3, 8, 7, 4, 1, and 5 without…

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Q: Assume a club N with six members: N = {Andy, Bill, Cathy, David, Evelyn, Erik} Count the different…

A: Finding the number of elements in a set or the total number of possible outcomes in an event is…

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: 2. How many 3 element subsets of the set {a, b, c, d, e, f, g, h, i} contain no vowels?

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Q: The employees of a company are given a 4-digit identification number. How many different numbers are…

A: GivenThe employees of a company are given a 4-digit identification numberNo.of digits from 0-9=10

Q: How many ways can you have a 6-digit passcode on your phone if you start with a 9 and none of the…

A: We need to find the number of ways to have a 6-digit passcode, given that the first digit is 9 and…

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: How many different ways can you arrange 10 students (4 students with blonde hair, 2 students with…

A: Total Number of students = 10 Number of students with blonde hair = 4 Number of students with black…

Q: Passwords can have 7 characters. Each character can be an uppercase or lowercase letter, a digit…

A: (a) If any character can be used in any position we have 26 uppercase letters 26 lowercase letters…

Q: The bedroom, garage, office, and bathroom of a house will be painted, each with a different color.…

A: From the provided information, There are 15 colors and the bedroom, garage, office and bathroom of a…

Q: How many different four letter secret codes can be formed if the first letter must be an S or a T ?

A: The experiment is to form four-letter secret codes. The condition is the first letter must be an S…

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: The digits 1, 2, 3 and 4 can be arranged to form different four-digit codes. a. Find the number of…

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Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: how many odd 3 didgit numbers can be formed from 0,1,2,3,4,5,6 and if each digit can be used once

A: For three digit odd number, the last digit of the number must be odd. Thus, the last digit of the 3…

Q: A car manufacturer offers a certain make of a car with 3 exterior colors, 5 interior colors, and 5…

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Q: How many different 10 letters words( real or imaginary) can be formed with the given letters.…

A: Given information- We have given 10 letters. N, K, J, H, G, Z, K, S, K, C We have to form the 10…

Q: A bag contains three red marbles, one green one, one lavender one, three yellows, and three orange…

A: The formula for combination is nCr= n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…