In how many ways can a race of 10 cars be concluded if 5 winners will be determined as winners (5th, 4th, 3rd, 2nd, and 1st Places). Enter your answer

Q: In how many ways can first, second, and third prizes be awarded in a contest with 365 contestants

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Q: In how many ways can 3 red cards be drawn from a standard deck of 52 cards

A: The total number of cards in a deck of cards is 52.

Q: In how many ways can a  friend visit his 3  friends  if he must visit all of them in a single day

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

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

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: In how many ways can 6 boys and 6 girls be seated around a circular table if all the no girls are…

A:

Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

Q: 12 In how many ways can a committee of 8 members be selected from a class of 15 students?

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Q: how many ways can you invite at least 7 of your 10 friends?

A: Given that  Total number friends (n) = 10 Number of friends to invite = At least 7    We know that…

Q: Suppose 15 cars start at a car race. In how many ways can the top 3 cars finish the​ race? The…

A: Permutations: The number of permutations of r items selected from n items is, Prn=n!n-r! In this…

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

A:

Q: In how many ways can 4 distinct red cars and 4 distinct black cars be parked in a row of 6 car…

A: Number of red cars = 4 Number of black cars = 4 Total number of cars = 8 Number of rows = 6

Q: In how many ways can 5 people be seated on a sofa, if there are only 3 seats available? * In how…

A:

Q: In how many ways can a chairperson and a treasurer be chosen from a club with 18 members, all of…

A: Total number of members is =18

Q: In how many ways can a president, vice president, secretary, and a treasurer b selected from club…

A:

Q: how many ways can a party of 8 people be seated in a circular table if 3 of them insist on sitting s

A: Given data,In a party there are 8 peoplen=8how many ways can a party of 8 people be seated in a…

Q: 2. A teacher wants to randomly choose 5 people from the class of 30 to help out at the open day BBQ.…

A: No.of students in a class, n = 30 No.of people chosen from the class to help out at the open day…

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: In how many ways can a class president, vice president, secretary and treasurer from a class of 100…

A: Given100 studentsTo findHow many ways a class president, vice president,secretary and treasureecan…

Q: In how many ways can a committee of 5 be formed from 5 juniors, and 7 seniors, if the committee must…

A: GivenNo.of juniors = 5No.of seniors = 7Total no.of seniors and juniors=12

Q: In how many ways can first, second, and third prizes be awarded in a contest with 110 contestants?…

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Q: In how many ways can a coach choose three swimmers from among five swimmers? Combination O Not…

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Q: In how many ways can a committee of not more than 3 representatives be selected from a group of 16…

A:

Q: In how many ways can 8 students be seated in a row if one particular student must always be placed…

A:

Q: in how many ways can 6 couples be seated at a round table if men and women want to sit alternately​

A: First let the men sit around the round table No of ways = 5*4*3*2*1=120

Q: In how many ways can a party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit…

A: Given :A party of 6 people be seated on a row of 6 seats if a certain 2 refuse to sit next to each…

Q: Six prizes are to be given to six different people in a group of seventeen. In how many ways can a…

A: Total number of people = 17 Number of prizes to be given = 6 For the first prize, we need to select…

Q: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

A: In how many ways can you make any arrangement of 3 vowels and 5 consonants taken from the alphabet…

Q: There are 10 guest at your home for a dinner party. In how many ways could the guests arrange…

A:

Q: In how many different ways can the director of a research laboratory choose two chemists from among…

A: Solution: Given information: Chemists applicants = 11  Physicists applicants = 7   To choose 2…

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: A committee of 5 persons is to be formed from 6 men and 4 women. In how many ways can this be done…

A: Given a committee of 5 persons is to be formed from 6 men and 4 women

Q: In how many ways can a committee of 4 executives be organized from 15 executives.

A: There are 15 executives. We have to make a committee of 4 executive.

Q: There are 6 runners in a race. In how many ways can 3 runners finish in first, second, and third to…

A:

Q: 2. Suppose there is a race between 9 friends. How many ways can the race be completed if John is…

A: Here use concept of total arrangement

Q: How many ways 5 students be seated in a row of 5 chairs for a pictorial?

A: Given students=5 chairs= 5

Q: In how many ways can 5 sets of numbers be picked from 50 numbers in a lottery?

A: From the provided information, Total numbers in a lottery = 50 The required number of ways of…

Q: Ten runners join a race. In how many possible ways can they be arranged as first, second, and third…

A:

Q: In how many ways can first, second, and third prizes be awarded in a contest with 840 contestants?…

A: We have to find number of ways to distribute the awards.

Q: How many 3-digit numbers with no repeated didgits using 4,5,6,7,8 can be a) Less than 520 b) Greater…

A: (a)given digits are 4,5,6,7,8.     Number of digits = 5 ; for the formation of 3 digit numbers from…

Q: In how many ways can first, second, and third prizes be awarded in a contest with 720 contestants?…

A: We have given that- We have to award first, second, and third prizes in a contest with 720…

Q: In how many ways can a hostess select six luncheon guests from 10 women if she is to avoid having a…

A: Combination and permutations

Q: A committee consists of 5 people Smith,Jones,Clark,Brown and White in how many ways can the members…

A:

Q: In how many ways can a committee of 3 be chosen from 7 people

A:

Q: In how many different ways can 8 people be seated in a circle if 3 people insist on sitting next to…

A:

Q: in how many ways can 2 children and 5 adults be seated in a row if the children must be seated at…

A: Given that there are 2 children and 5 adults.

Q: There are 12 teams in a league. In how many ways can the teams finish first, second, third, and…

A: A permutation is a mathematical tool that helps us to find the number of possible arrangements in a…

Q: in how many ways can a committee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: A committee of 9 students.

Q: A bakery has 12 different fancy cakes. In how many ways can 6 of the 12 fancy cakes be lined up in a…

A: We have to use permutation m

Q: In how many ways can a committee of four be chosen from five married couple if the committee must…

A: Five married couple that means number of men = 5 and number of women = 5  Here given condition…