A license plate consists of two letters and three digits. How many different plates can be made if repetition are permitted? How many can be made if repetitions are not permitted?

Q: Classify the problem as a permutation, a combination, or neither. How many three-digit numbers can…

A: Given that  Numerals = { 2 , 3 , 4 , 5 }   Number of three digit numbers formed without repetition.…

Q: There are 8 persons inside a room. If each will dance cha-cha with the other 7, how many dances are…

A: Given, There are 8 persons inside a room and each will dance with the other 7 To find the number of…

Q: A store sells 8 kinds of balloons with at least 30 of each kind. How many different combinations of…

A: 8 kinds of balloons with at least 30 of each kind We have to find how many different combinations of…

Q: How many dozen doughnuts must be ordered for a meeting if 156 people are expected to attend, and…

A: To determine how many dozen doughnuts must be ordered for a meeting if156 people are expected to…

Q: A license plate consists of 2 letters followed by 4 numbers, and to avoid confusion, the numbers 1…

A: GivenNo.of letters from A-Z =26No.of numbers from 1-0 excluding 1 and 0 = 8

Q: From a standard​ 52-card deck, how many 7​-card hands consist of 5 clubs and 2 diamonds​?

A: There are total 13 clubs and 13 diamonds.  We can pick 5 clubs from 13 clubs in 13C5 ways. We can…

Q: How many different arrangements can be made using all the letters in VANCOUVER?

A: There are total 9 letters in the word VANCOUVER. Letter Frequency V 2 A 1 N 1 C 1 O 1…

Q: A family has 4 children.  How many different boy/girl orders are possible?

A: When a family has a child there are two possibilities either a boy or a girl.

Q: in a survey of 80 fifth grade students who play soccer,basketball,or both,60 students play and 40…

A: Form the given information, In a survey of 80 fifth grade students who play soccer, basketball or…

Q: There are 42 runners in a race. How many ways can the runners finish first, second, and third? There…

A: there are 42 runners in a rece we have to find out the no. of ways can finish first, second and…

Q: In a group of 100 people, 60 have a DVD player, 50 have a CD player, and 20 have neither. How many…

A:

Q: There are 58 runners in a race. How many ways can the runners finish first, second, and third? There…

A: From the given information, total number of runners = 58. The objective is to find the number of…

Q: A student has 7 books on his deck. In how many different ways can he select a set of 3?

A: student has 7 books on his deck. No. of different ways to select set of 3 = ?

Q: ADJ is preparing a playlist of 20 songs. How many different ways can the DJ arrange the first six…

A:

Q: How many 5-number license plates can be made using the digits: 0, 1, 2, 3, 4, 5, if repetitions are…

A: Given that 5-number license plates that are made using digits 0, 1, 2, 3, 4, 5. We have to determine…

Q: There are 10 people in a meeting. In how many ways can you arrange your participants around a ROUND…

A: Total ways in which 10 people be arranged around a round table so that 4 people sit beside each…

Q: The freshman basketball team has ten players. Only five can play on the court atone time. How many…

A: Given problem:- The freshman basketball team has ten players.Only five can play on the court atone…

Q: Faraway planet is populated by creatures called jolos. all jolos are either green or purple and…

A: (USE COLUMN 1) Total number of one headed  = 430 (given) Green Jollos                           =…

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

A: Given that, Man has 8 shirts and 3 ties How many different combinations can he wear?

Q: How many​ 5-card hands can be dealt from a standard deck of 52​ cards?

A: The objective of this question is to find out the number of different 5-card hands that can be dealt…

Q: Five cards are drawn from a standard deck of 52 cards. How many hands of five cards contain exactly…

A: Total hands of five cards contain exactly one spade​ = 13*82251 = 1069263

Q: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

A: In how many ways can 4 bottles containing different drugs be arranged on a medicine cabinet?

Q: In a lottery daily game, a player picks three numbers from 0 to 9. How many differentchoices does…

A: Given dataNumbers from 0 to 9A player picks three numbers from 0 to 9No of different choices the…