License plates in a certain state follow the format: four letters, followed by three digits. In addition, the letters Q, O, S, I, D are not allowed. If repetitions are allowed, how many different license plates are possible?

Q: How many possible meals are there?

A: here use fundamental of counting principle   The school canteen offers the following choices for…

Q: Two coins are randomly drawn from a coin pouch. If there are 5 dimes, 2 nickels, and a quarter, how…

A: As given there are 5 dimes, 2 nickels, and a quarter in a pouch. 1 nickel = 5 cents 1 dime = 10…

Q: Consider the five letters a,b,c,d,e. In how many distinct ways can three letters be selected and…

A: Permutation:         The act of arranging the members of a set into an order or sequence, if it is…

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 2 nickels, and a quarter, how…

A: The pouch contains 4 dimes, 2 nickels and one quarter. Two coins are randomly drawn from a pouch.

Q: An experiment involves tossing five coins. How many elements are there in the domain?

A:

Q: Two coins are randomly drawn from a coin pouch. If there are 4 dimes, 3 nickels, and a quarter, how…

A: The probability density function of X is obtained below:From the given information, number of coins…

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: 5 cards are dealt from a standard deck of​ cards, how many different ways can three hearts and two…

A: 5 cards are dealt from a standard deck of​ cards. A standard deck of cards has 52 cards out of…

Q: 4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's…

A: 4. Answer: In 38760 ways can he select 6 of them for today's menu out of 20.

Q: Given the numbers 0, 1, 3, 5, 7, 8 and 9 and if repetition is allowed; a. How many 4-digit numbers…

A: 2.a.  There are 4 spaces in a 4-digit number. _ _ _ _ These 4 spaces needed to be fill using the…

Q: How many ways can a Captain, Vice-captain and team manager be chosen from a team of 22 persons

A: Given

Q: In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). How many…

A: In a lottery daily game, a player picks four numbers from 0 to 9 (without repetition). According to…

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: 1. How many different license plates are possible using 3 letters followed by 3 digits? digits and…

A:

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

A:

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: Consider the numbers 2, 4, 5, 7 and 8. If repetition is not allowed, how many three digit numbers…

A: Solution To make the 3 digit number we will use permutation.

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: A theater was designed to have 24 seats in the first row, 30 seats on the second row, 36 seats on…

A:

Q: A team of 28 soccer players needs to select two co-captains. In how many ways can two co-captains be…

A:

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: A essay-writing contest offers a $1000 prize for first place and a $250 prize for second place. If…

A: Fundamental principle of counting : If an event occur in m ways an corresponding to it another event…

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 a class of 50 students, 20 are math majors, 35 are computer science majors, and 12 are majors in…

A:

Q: How many arrangements are possible if all the letter E must be next to each other of the word…

A:

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: How many different arrangements can be made using all the letters in CALGARY, if the first letter…

A: CALGARY If the first letter must be G.  Then, Starting with G, need to arrange the remaining 6…

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

A:

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

A: There are 4 nines in a deck of 52 cards. We can select 3 nines in 4C3=4 ways.

Q: 2. Dylan, Andrew, Hailey, and Jordan ran in a race of 25 people. In how many different orders can…

A: 2. There are 4 people Dylan,Andrew,Hailey and Jordan Here The places are also 4 The race are start…

Q: b) In how many different ways can five friends sit for a photograph of five chairs in a row?

A: Given :              There are five friends sit for a photograph in a row of five chairs.…

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: Given the word PERINGKAT, a. How many arrangements can be made if all the letters are used? b. In…

A:

Q: One hundred sixty-five people each purchased one raffle ticket. Three winning tickets are randomly…

A:

Q: n how many different ways can we select a committee of a president, vice president , and a secretary…

A: Given,total no.of applicants=15

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: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

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: A license plate consists of two letters and three digits. How many different plates can be made if…

A: no.of digits (0 to 9)=10no.of letters (A to Z)=26

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) In how many ways can 13 cards be selected from a deck? (b) In how many ways can 13 cards be…

A: There are 52 cards in a deck we need to select 13 from a deck of 52 cards 13 cards can be selected…

Q: Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through…

A: Consider the provided question, 5 number can select from 59,  C559 ways. and, 1 number can select…

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: How many different arrangements of the word PARRAMATTA are possible?

A: The given word is PARRAMATTA

Q: 11 Given the digits 6, 7, 8, 9, a. How many four number digits can be formed if there's no…

A: Given digits are  6, 7, 8, 9 each parts are solved below.

Q: 3. A town orchestra is holding auditions for 3 new flute players and 4 new trumpet players. If 8…

A: It is given that a town orchestra is holding auditions for 3 new flute players and 4 new trumpet…

Q: If repetitions are not allowed, how many three digit numbers formed with the digits 0, 1, 2, 3, 4,…

A: Topic = Permutation and combination As per guidelines , at a time only three sub-parts of a question…

Q: A major league baseball team has 40 players of which 25 are considered active. a.) How many ways are…

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

Q: Ten people wish to play in a basketball game. In how many different ways can two teams of five…

A: To find: How many different ways can two teams of five players each be formed among ten people