20. An employee identification code for a hospital consists of 2 letters from the set {A, B, C, D} followed by 4 digits. a. How many identification codes are possible if both letters and digits may be repeated? b. How many identification codes are possible if letters and digits may not be repeated?

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: 6. A survey in the year 2020 asked families whether they owned a hermit crab, a turtle, or a snail.…

A: Let H, T and S be the set of families who owned a hermite crab, turtle and snails respectively. H…

Q: first digit of the phone number can not be a U?

A: Given 10 digit phone numbers are there in Montana with an area code of 406 the first digit of the…

Q: How many different 4-letter radio-station call letters can be made   if the first letter cannot be…

A: Given: 4- letter radio-station call letter has to be made with first letter should not be A, B or C…

Q: n consists of 10 albums, each containing 42 pages. How many stamps are in the total collection if 40…

A: Introduction: Different symbols are used in mathematics. One of the most common math symbols is the…

Q: Suppose that a collection of 100 coins (consisting of fifty cent pieces, dimes, and pennies) is…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: ts into 4 equal activit re in each group?

A:

Q: 3. Suppose 1500 runners are in a race. How many ways could the runners finish in 1*, 2nd and 3rd…

A:

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: 15. An essay test has 10 questions. Students are required to answer 6 of the 10 questions. How many…

A: No.of questions are required to answer by the students, r = 6 Total no.of questions, n= 10 The…

Q: 3. In how many ways can you arrange 5 books on a shelf from available 10?

A: The number of all combination of n things, taken r at  time is given by:

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

A:

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: The new license plates consists of three alphabet letters followed by three digits.  How many…

A: Given: A license plate consists of three alphabet followed by three digits. The objective is to…

Q: 6. The University of Montana ski team has 15 entrants in a men's downhill ski event. The coach would…

A: 6) The number of entrants in men’s downhill ski event is 15.

Q: 25. A boy owns 3 pairs of pants, 5 shirts, and 2 jackets. How many different outfits can he wear to…

A: Given, a boy owns 3 pairs of pants, 5 shirts and 2 jackets.

Q: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

A:

Q: 1. How many license plates can made where the first character is a number from 0 to 9, followed by…

A:

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: An automobile license plate is designed to show 4 letters from A to Z followed by a 4-digit number.…

A: Total no.of letters from A-z=26Total no.of digits from 0-9=10

Q: How many posible 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

A: We have given that 5-digit zip codes exist if the first number must be from 3 and 9, the last number…

Q: A woman has seven skirts and seven blouses. Assuming that they all match, hi combinations can she…

A: Solution:- From given information they are 7 skirts 7 blouses

Q: In an apartment complex with 10 mailboxes, in how many ways can a mail carrier distribute 10 letters…

A: The formula for finding the  one addressed to each box such that at least one letter is put into the…

Q: Sri and her father are piling logs at their backyard. The first layer has 15 logs, the fifth layer…

A: Given Data: Number of logs in the first layer a1=15 Number of logs in the first layer a5=7 Total…

Q: an ATM personal identification number consists of 3 digits. 0,1,2,...,8 or 9 in succession. how many…

A: GivenMake 3 digit with the help of 0,1,2,3,4,5,6,7,8,9

Q: 2. How many unique 3 digit codes can be created from the 5 digits {1, 2, 3, 4, 5} if repetitions are…

A: A permutation of a set is defined as an arrangement of its members into a sequence or if the set is…

Q: 3. A sports team has ten long distance runners, eight sprinters and five jumpers. A team of three…

A: (3) No.of long distance runners = 10 No.of sprinters = 8  No.of jumpers = 5 consider that a team of…

Q: The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter “words” are…

A: From given data : there is 7 consonants and 5 vowels

Q: 14. If there are 31 flavors of ice cream How many different ways can you choose 2 scoops if you can…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: 7. A family consisting of 3 children and 10 adults have reserved a row of seats at a theater. The 3…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: 2. In how many ways can the 7 Harry Potter books be arranged shelf? on a

A: The objective is to find the number of ways to arrange 7 Harry Potter books on the shelf.

Q: How many 8-letter words can be made from the letters WASTEFUL if repetition of letters is allowed?…

A: Given word is 'WASTEFUL'Total no.of letters in the word 'WASTEFUL' is 8 .

Q: A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients…

A: The number of ways that the doctor can visit 8 patients during the morning rounds is,The number of…