A burger chain wants to send codes for a free small drink to the members of its kids club. The coupon code will have one letter, followed by two digits, followed by two letters. The letters  R ,  S ,  T , and  U  and the digit  3  will not be used. So, there are  22  letters and  9  digits that will be used. Assume that the letters and digits can be repeated. How many such coupon codes can be generated?

Q: A presidential candidate will be visiting 4 cities in Georgia, 2 cities in Mississippi, and 4 cities…

A: This is a counting problem, and we will solve this using the concept of permutations.

Q: How many 7-digit numbers can be made from the digits 1, 2, 3, 4, 5, 6, and 7 if each digit can only…

A: Digits: 1, 2, 3, 4, 5, 6, 7.

Q: There are nine different marbles in a bag. A student reaches in and randomly draws one marble at a…

A: Given there are nine different marbles in a bag. A student reaches in and randomly draws one marble…

Q: If a chicken and one half lays an egg and one half in a day and one half, how may eggs will 30…

A: According to the provided information, 1.5 chicken lays 1.5 egg in 1.5 days.That is, 1.5 eggs = 1.5…

Q: supermarket wants to send codes for $0.25 off a bag of chips to its rewards program members. Each…

A: Given, a supermarket wants to send codes for $0.25 off abag at chips to its rewards program…

Q: A furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives the number…

A: Given that a  furniture manufacturer makes sofas, chairs, and ottomans. The accompanying table gives…

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: A toy company is going to issue new ID codes to its employees. Each code will have one letter…

A: given data , a toy company is going to issue new ID codes to its employees. each code will have one…

Q: A time traveler can take 4 books with him, and he has 54 books to choose from. How many different…

A: The objective of this question is to find out the number of ways the time traveler can select 4…

Q: A survey of 100 people showed that 24 own a car, 59 own a bicycle, and 17 own both a car and a…

A:

Q: The first three digits of a 10-digit phone number make up the area code for the number. How many…

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Q: A supermarket send codes for $0.25 off a bag of chips to its rewards members. Each coupon code will…

A: Number of letters allowed = 24 Number of digits allowed = 7 Each coupon code will have one digit…

Q: mrs putzman has a briefcase with a three digit combination lock. she can set the combination…

A: Given that, mrs putzman has a briefcase with a three digit combination lock. she can set the…

Q: A car company is going to issue new ID codes to its employees. Each code will have one digit…

A: The objective of this question is to find out the total number of unique employee ID codes that can…

Q: Professor Chauvet wants to know how quickly her students can type out a text message. So that…

A: The objective is to identify which of the given choices is best measure to describe the center of…

Q: A department store wants to send codes for  $15  off a  $75  purchase to the subscribers of its…

A: The coupon code have three letters followed by one digit and followed by one  letter. i.e. we have…

Q: Assume that the pond contains 120 fish: 94 aqua, 25 canary, and 1 eggplant. A contestant pays $0.55…

A:

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

A: Here we have to number of five letter call letters starting from W

Q: A musician knows 10 songs is only going to play 4 of them at a concert. In how many different ways…

A: A musician knows 10 songs is only going to play 4 of them at a concert.  In how many different ways…

Q: A realtor uses a lock to store the keys to a house that is for sale. The access code for the lock…

A: In this case, the number of ways to fill 1st digit is 9 except the digit 5.

Q: A realtor uses a lock box to store the keys to a house. The access code for the lock box consists of…

A: A permutation is the arrangement of elements. For example, three persons viz. A, B and C can be…

Q: Suppose you have a choice of ten TV sets that can be matched with any of six DVR players and eight…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: how many of the three digit numbers are even numbers and do not begin with 2

A: here given , mrs putzman has a briefcase with a three digit combination lock. she can set the…

Q: A realtor uses a lockbox to store the keys to a house that is for sale. The access code for the lock…

A: There are 10 numbers in number system. Now, the first digit can not be 0, so there are 9 possible…

Q: itially, 10 people have an infection. The next day, every infected people infects one more person.…

A: To find the number of days it will take for 1280 people to infect.