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: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

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…

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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…

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

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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: Use Heron’s formula to find the area of the triangle with a = 16 meters, b = 10 meters, c = 8…

A:

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

A:

Q: A team composed of two grade 11 and two grade 10 students is to be sent to a debate contest. If…

A: The provided information is  There are Two grade 11 and two grade 10 students  There are also 60…

Q: The English alphabet contains 21 consonants and five vowels. How many strings of six lowercase…

A:

Q: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

A: Standard automobile license plates in a state display 5 digits (from 0-9), followed by 2 letters…

Q: 23. In his suitcase, Jack has 3 shirts, 4 pants, 2 socks (pairs of socks), and 2 shoes (pairs of…

A: Given: In his suitcase, Jack has 3 shirts, 4 pants, 2 socks(pair of socks), and 2 shoes(pair of…

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: 4. Using the letters from the word CUSHI O N: How many 5 letter arrangements are possible? Express…

A: Use formula of combination, selecting n objects from m can be expressed as: Cnm=m!n!(m-n)!

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…

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Q: Excluding the letters I, O, Q and Z, how many plates registration number can we make if we use…

A: The number of letters in English alphabet = 26Excluding the letters I, O, Q and Z  the number of…

Q: You need to choose a new 8-character password for your account. The password can contain only…

A: The objective of this question is to calculate the total number of possible passwords that can be…

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…