An eyewitness to a crime said that the license plate of the getaway car began with the letters Y, N, X, F but he could not remember the order. The rest of the plate had the numbers 1 and 3 but again he did not recall the order. How many license plates must the police investigate to find the​ car?

Q: How many choices are there for a person to check out 4 CDs from a library that has 25 CDs of his…

A: Given : n = 25 x = 4

Q: For this problem, assume that you are to pick 4 cars from the motor pool, which contains 7…

A: It is given that: n1=n(Subcompact)=7 n2=n(Compact)=4 n3=n(Midsize)=6 Thus, the total number of cars…

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters Y,…

A: Question is solved.

Q: an eyewitness to a crime said that the license plate of the getaway car began with the letters Y,B,…

A:

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: There are 26 letters and 10 digits. The first letter is A. So 1 choice for the first letter. For the…

Q: A manufacturer knows from experience that for every 100 widgets that are produced at her factory, 3…

A: Given Information- Out of every 100 widgets produced 3 will be defective. Using Unitary method We…

Q: number summary is 0.53, 0.74, 1.19, 1.355, and 1.4

A: The five-number summary consists of the following statistics: Minimum, Lower quartile, Median, Upper…

Q: When dialing a friend's phone number, a person forgot the last four digits, and only remembers that…

A: The last four places can be taken by any number from 0 to 9. Now, two places have same number.

Q: How many 6-places license plates are possible if he first 3 places re to be occupied by letters and…

A: Given data: How many 6-places license plates are possible if he first 3 places are to be occupied by…

Q: You need to arrange seven of your favorite books along a small shelf. How many different ways can…

A:

Q: You need to arrange nine of your favorite books along a small shelf. How many different ways can you…

A: Given, Total number of books available to arrange = 9

Q: A fast food restaurant advertises that it offers any combination of 8 condiments on a hamburger,…

A: The number is obtained as follows: The number of choosing none of the condiments on a hamburger:…

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters T,…

A: Given: An eyewitness to a crime said that the license plate of the getaway car began with the…

Q: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were…

A: Given: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red,…

Q: A witness to a hit-and-run accident immediately reported to the police, although he could no longer…

A: Given that a license plate contained three letters, and the second letter was anything after T. The…

Q: I am arranging my dog's collars on a 6 hanger coat rack on the wall.  If she has six collars, how…

A: Given that there are 6 hangers and there are 6 collars.  So I can hang the first collar in 6 ways.…

Q: There are four boys to every three girls in an introductory geology course. If there are 392…

A: First we let the ratio be 4x/3x . And total is 392.It means 4x+3x=392 .

Q: 3 of his stickers 10 Rudi, Sam and Ted had 162 stickers altogether. Rudi gave of his stickers to…

A: Given Information - Total number of stickers Rudi, Sam and Ted had = 162 Rudi gave 310 stickers to…

Q: Radio stations that are on the east side of a nation have call letters consisting of a W followed by…

A:

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U…

A: Solution: There are 2 letters this means that

Q: An eyewitness to a crime said that the license plate of the getaway car began with the letters U…

A: Solution:   There are 2 possible position for the fisrt latter. There is 1 possible position for…

Q: On Tuesday, Shanice brought five hats. In Wednesday, half of all the hats that she had were…

A:

Q: The Croods, Half Brothers, All My Life, The War with Grandpa, and Let Him Go are playing tonight at…

A: Suppose we have n different positions and n different object to place then we can numbered position…

Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: Suppose that I have 250 pieces of candy, I randomly pick 15 of them from the bar and so over that 6…

A:

Q: John and Michael want to arrange the letters of the word MISSISSIPPI and PHILIPPINES respectively.…

A: Given  The letters of the word MISSISSIPPI and PHILIPPINES are arranged by John and Michael.

Q: A computer user has downloaded 15 songs using an online file-sharing program and wants to create a…

A: Given that the computer use has downloaded 15 songs using an online file-sharing program and wants…

Q: How many different 2 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: GivenTotal no.of cards in a deck =52

Q: if 1 cup gives 20 servings, and 1/2 cup gives 40 servings, how do i figure out how many servings 3/4…

A:

Q: Kathleen had a bag of candy-coated chocolates. Of the 60 candies in the bag, 20% were red, 30% were…

A: In certain situations we have to find the part of the part of a whole. In this case, we find one…

Q: A local sporting goods store is celebrating its grand opening by giving a free t-shirt to every 5th…

A:

Q: Harry has to visit 10 cities. He can visit three in any one day, and the order in which he visits…

A: Combinations: The number of combinations of r items selected from n items is, nr=n!n-r!r! Harry has…

Q: In a science classroom, where labs are performed, students are seated at lab tables. If the teacher…

A:

Q: A team plays 15 games a season. In how many ways can it have 8 wins and 7 losses?

A:

Q: The Schmidts are considering the purchase of 3 paintings for their home. Their decorator advises…

A: Given information- We have given The Schmidts are considering the purchase of 3 paintings for their…

Q: Agustina owns all five books in the Spiderwick Chronicles series. In how many different orders can…

A: Given: Number of books = 5

Q: A poker hand consists of five cards from a deck of 52.  Order does not matter.  In how many ways can…

A: A poker hand consists of five cards from a deck of 52.   Order does not matter i.e. combination is…

Q: A witness to a hit-and-run accident tells the police that the license plate of the car in the…

A: From the given information, There are 26 letters in total in which we have to select three letters…

Q: If I got 8 out of 12 answers the same as a classmate, is it possible for me to get no answers…

A: According to the provided information, 8 out of 12 answers the same as a classmate.

Q: A computer user has downloaded 22 songs using an online file-sharing program and wants to create a…

A: Here, total number of songs, n= 22 Number of songs to be selected, r = 10

Q: Maxine has 3 English books, 4 Math books and 2 Science books.               a. In how many ways…

A:

Q: A computer user has downloaded 15 songs using an online file sharing program and wants to create a…

A: Given data: Total songs  = 15  13 =  songs to use in his portable CD player  To find: How many…

Q: How many different 3 card hands can be dealt from a deck of 52 cards? The order of the cards does…

A: To find in how many ways 3 card hands can be drawn from a deck of cards: Order does not matter.…

Q: There are 378 students who enrolled in an introductory engineering course. If there are four boys to…

A:

Q: Find the number of different ways a grade A, B, C or D can be assigned to three students of a class…

A: Suppose we have three students x , y and z Now  x has 4 grade options y has 3( As one is already…

Q: From a garden with 6 flower varieties, a bouquet of 3 differer types of flowers is to be picked. How…

A: using permutation and combination in these type of problems.

Q: Find the number of ways in which 6 teachers can be assigned to 4 sections of a math course if no…

A: Solution: 5. From the given information, there are 6 teachers and 4 sections.

Q: A license plate used 2 digits followed by two letters. If the numbers 1 and 0 can not be used in the…

A: Consider the provided question, Since, the numbers 1 and 0 can not be used in the digits. So, the…

Q: Dr. Volz gave an exam with 14 questions, but students only had to answer 10 of them. Suppose the…

A: We have to use combination formula. Formula : Crn = n!r!(n-r)!

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.