The employees of a company are given a 4-digit identification number. How many different numbers are available if repetitions are permitted?

Q: A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector choose…

A:

Q: How many different phone numbers are possible in the area code 503, if the first number cannot start…

A: There are 10 numbers from 0 to 9. After the area code 503, there are 7 numbers. There are 8 other…

Q: About 102 out of every 320 people are left handed. If 3,360 students attend Ben Davis High School,…

A: There are 102 people are left handed in 320 people. Total students in school is 3,360 . We use ratio…

Q: From a club of 25 people, in how many ways can a group of six members be selected to attend a​…

A: In how many ways a group of six members can be selected from a club of 25 people.

Q: (a) If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word,…

A: Here as PER POLICY  I HAVE CALCULATED  1ST main question only    9 letter word selected from total…

Q: from a group of 21 people, how many different ways an a committee consisting of a president,…

A: Combinatorics are mathematical techniques that determines the number of possible arrangements in a…

Q: From a club of 17 people, in how many ways can a group of six members be selected to attend a…

A:

Q: If 5 out of 7 students at a college are full-time students, what is the enrollment at the college if…

A:

Q: . A shipment of 50 calculators contains 3 that are defective. In how many ways can an inspector…

A: we have to find number  of ways..

Q: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10. a. How many…

A: At a music​ festival, there are ten bands scheduled to​ play, numbered 1 through 10.   a. Number of…

Q: If 15 people start a race, in how many different ways can the top 3 finishers be determined?

A: Permutation:   It  is an arrangement of objects in a definite order where the order is important.…

Q: From the letters a, b, c, d, and e, how many four-letter groups can be formed if each letter can be…

A:

Q: From a club of 16 people, in how many ways can a group of five members be selected to attend a…

A: Given Data: The number of people in the club is: n=16 The number of members required is: x=5 The…

Q: If 20 women are entered in the Miss Georgia contest, in how many different ways can the judges…

A: Given that 20 women are entered in the Miss Georgia contest.

Q: Suppose you are asked to list, in order, the three best movies you have seen this year. If you saw…

A: Suppose you are asked to list, in order of preference, the three best movies you have seen this…

Q: If any nine letters of the 27-letter Spanish alphabet could be used to form a nine-letter word, how…

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

Q: An ATM personal identification number (PIN) consists of four digits, each a 0,1,2,...,8, or 9, in…

A: The number of digits from 0 to 9 is 10.

Q: Each telephone number in a city consists of 7 digits, the first of which must be 3 or 4. (a) How…

A: HERE TELEPHONE Diary consists of 7 digits, first is either 3 or 4.

Q: In how many ways can three taxi drivers be assigned to nine cars?

A: The number of taxi drivers is 3 and the number of cars is 9.

Q: If a club consists of 13 members, how many different arrangements of president, vice-president, and…

A: Here we have to arrange president, vice president and a secretary. An office can be run by only one…

Q: If a club consists of 18 members, how many different arrangements of president, vice- president, and…

A:

Q: If repetitions are not permitted, from the 6 digits 0, 2, 3, 4, 5, and 8, how many 4- digit number…

A:

Q: There are five people at a volleyball tournament. In how many ways can a team of three be chosen?

A: The number of ways r items can be chosen out of n items is equal to C(n,r) . The formula for C(n,r)…

Q: If radio station call letters must begin with either K or W and must include either two or three…

A: Multiplication Rule of Counting:If there are p selections for the 1st option, q selection for the…

Q: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

A: How many 5-card hands are possible from a standard deck of 52 playing cards if the cards are drawn…

Q: A state makes a license plate with 3 letters followed by 5 numbers. If repetitions are permitted,…

A: To find the different ways in which license plates can be made

Q: How many 13-card hands dealt from a standard deck will have exactly seven spades?

A: A permutation of a set is, loosely speaking, an arrangement of its members into a sequence or linear…

Q: The number of ways of choosing ten students from a class of twenty-five is the same as the number of…

A: So in this we have to find the both then evaluate to see both are same so for this I'm providing…

Q: How many different sets of 5 cards can be formed from a standard deck of 52 cards?

A: We need to find the number of different 5 card sets that can be formed from a deck of 52 cards. Now,…

Q: How many five-card hands (drawn from a standard deck) contain exactly two spades? (A five-card hand…

A: There are 13 spades in a deck of 52 cards. We can select 2 spades in 13C2=78 ways.

Q: A health inspector must visit 3 of 8 restaurants on Monday. In how many ways can she pick the 3…

A: Total number of restaurants is = 8  She has to pick 3 restaurants.  Here the arrangement does not…

Q: A photographer is asked to submit seven photographs from a collection of 14 for an exhibit. In how…

A:

Q: How many different committees of three persons each can be chosen from a group of twelve people?

A: Combination: A combination is a grouping or subset of items. for a combination, the order not…

Q: A class of 40 students is to choose a set of classroom officers composed of the President,…

A: Permutation formula : nPr = n! /(n-r)!

Q: How many ten-digit telephone numbers are possible if the first three digits must all be different?

A: Given,total no.of digits=10  (0 to 9)

Q: A city soccer league has 8 teams.  In how many ways could the league assign first, second, and…

A: There are total 8 teams We have to pick 3 teams from those 8 teams.  Since it is ranking, so order…

Q: If a club consists of 13 ​members, how many different arrangements of​ president, vice-president,…

A:

Q: If there are 13 employees in a club, in how many ways can they choose a dishwasher and a bouncer?

A: Given information- We have given that there are 13 employees in a club. They want to choose a…

Q: If a club consists of 12 members, how many different arrangements of president, vice-president, and…

A: Given that  a club consists of 12 members. We have to find the number of different arrangements of…

Q: If 20 paintings are entered in an art exhibit, in how many different ways can the judges award a…

A: It is given that, 20 paintings are entered in an art exhibit. Then judge award the first prize to…

Q: A man has eight shirts and five ties. Assuming that they all match, how many different shirt-and-tie…

A: Given,            A man has eight shirts and five ties.

Q: A club with 23 members is to select a committee of six persons. In how many ways can this be done?

A: Given: The number of members in a club is equal to 23, To find: The number of ways of selecting a…

Q: If Kristine were to pull a marble from the jar below randomly, replace and pull another marble 75…

A: There are 15 marbles in the jar labelled 1,2,3,4,5,6,7,8,9,10,11,12,13,14,15. 1 Marble is drawn with…

Q: If a club consists of 8 members, how many different arrangements of president, vice-president, and…

A: Given that Number of memebers in a club =8 To find number of different arrangements of…

Q: A club with 25 members is to select five officers (president, vice president, secretary, treasurer,…

A:

Q: How many different ID cards can be made if there are 6 digits on a card and no digur can be used…

A: Given: Number of digits = 6 No digits is used more than once.

Q: How many different four-letter radio station call letters can be formed if the first letter must be…

A: We have to form different four-letter radio station call letters with condition that first letter…

Q: Given 10 different English books, 6 different French and 4 different German books, how many ways are…

A: Given 10 different English books 6 different French books 4 different German books

Q: A Maryland automobile license plate consists of three letters followed by three numbers.  Decorum…

A: For every three-letter combination outlawed, the number of possible plates that get removed is given…

Q: If there are 22 members in a club, how many ways can a President, VP, Secretary, and Treasurer be…

A: