How many different ways can a race with 6 runners be completed? (Assume there is no tie.)

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: How many different ways can a race with 8 runners be completed? (Assume there is no tie.) Your…

A: as given we have to find number of ways can a race with 8 runners be completed

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

A:

Q: The number of possible combinations if r objects are taken from n items is nCr =________.

A: The concept of combination is applied when following conditions are satisfied: a) Repetition is not…

Q: How many ways can 6 boys stand in a line if a certain boy must come first?

A:

Q: How many different ways can a gold medal, a silver medal, and a bronze medal be awarded in a race…

A:

Q: How many ways can the Blue, Red, and Yellow ribbons be awarded to the 9 participants of a 10k race?

A: Given,Total no.of participants=9no.of ribbons=3

Q: How many possible results are there that A finished the first, B finished the second, and C finished…

A: SIX STUDENTS ARE SELECTED TO RUN 100 METER SPRINT. ASSUME THAT THEY ARE EQUALLY GOOD AND RESULT ARE…

Q: How many different ways can a race with 6 runners be completed? (Assume there is no tie.) Your…

A:

Q: 20 people enter a writing contest. In how many ways can the 1stprize, 2ndprize, and 3rdprize be…

A: According to the given statement

Q: In how many ways can seven people be seated at a round table if 2 particular people must not sit…

A:

Q: 1. A librarian noticed that 60% of seventh graders checked out fantasy books. About how many of 240…

A: Solution

Q: in how many ways can four students be seated in a row of four seats?

A:

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 you choose 5 out of 11 people for a game of basketball?

A: In how many ways can you choose 5 out of 11 people for a game of basketball. Here i attached…

Q: Aruni wins 30% of the games he plays on Among Us. If he plays 40 games how many should he win?

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

Q: How many 5-card poker hands are possible?

A: Combination Rule: The arrangement of r objects from n different objects is given by: nCr=n!r!n-r!

Q: In a race of 24 people, the top 8 are awarded different amounts of prize money, with first receiving…

A: Permutation: The number of different arrangements of ‘r’ elements (order matters) from a set of ‘n’…

Q: 4. There are 256 children in the juniors. a) Half have sandwiches, how many have school dinners? b)…

A:

Q: How many different ways can a race with 8 runners be completed? (Assume there is no tie.) Your…

A: Given that, A race has 8 runners.  And also stated that there is no tie.

Q: How many ways are there to choose first, second, and third prizes in an art contest with 18 entries?

A: Introduction:According to the permutation rule, if r distinct items are to be chosen from n items…

Q: (a) How many ways can a student choose eight out of ten questions to answer on an exam? (b) How many…

A: (a) total number of question=10 to find number of ways can a student choose eight out of ten  we…

Q: In how many ways can eight children posing for a photograph line up in a row?

A: 8! = 40320 ways can eight children posing for a photograph line up in a row

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

A:

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

A:

Q: 50 people were surveyed about whether they like the ice cream flavors vanilla and 20 people liked…

A: Let the people who like vanilla be denoted by V and people who like strawberry be denoted by S.…

Q: 20 fifth graders compete in a spelling bee. If there is a gold medal, silver medal, and bronze medal…

A: We have  Medals = 3 Positions = 3

Q: 2. In a group of 700 people, must there be 2 who have the same first and last initials? Why?

A:

Q: In how many ways can a student choose to do 5 questions out of 11 on a test?

A: The question is based on permutation. We need to find the number of ways a student can choose 5…

Q: 11. In a contest of 51 people we need to have a first place, a second place, a third place and a…

A: Given, number of peoples in the contest = 51 To find the number of ways 51 peoples got first,…

Q: How many different 5-card hands are possible from a deck of 52 playing cards?

A: Topic- permutations and combinations

Q: How many different ways can a race with 8 runners be completed? (Assume there is no tie)

A: There are 8 runners in the race and there is no tie. If two events E1 and E2 occur in order and E1…

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

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: In how many ways can we seat 7 people at a round table with a certain 3 people side by side?

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: In how many ways can a person invite 4 out of their 13 closest friends to a dinner party?

A: Here there are 13 friends out of which the person has to invite 4 friends for the dinner party. Here…

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: black hair or had a whole row to themselves (or both). Of this total, 25 had black hair and 5 were…

A:

Q: 4. a) How many 5 card poker hands are there with 2 hearts and 3 spades? b) How many 5 card poker…

A: Given: 5 card poker hands with 2 hearts and 3 spades and 5 card poker hands with 4 of a kind

Q: How many ways can you choose 5 out of 10 friends to invite to a dinner party?

A: To solve the problem of combinations (selections) in the given scenario.

Q: 8) In a track meet, ten runners compete for first, second, and third place. How many different ways…

A: Correct answer is =  3! * 103 = 6 * 10*9*83*2*1 = 720

Q: How many different ways can a race with 9 runners be completed? (Assume there is no tie.)

A: There are 9 runners who can come in first so there are 9 possibilities  For the second place there…

Q: 25. In a tennis tournament with 18 players, how many possible matchups (one-on-one) are there?

A:

Q: How many different ways can a race with 5 runners be completed? (Assume there is no tie.) Your…

A:

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…

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

Q: How many different ways can a race with 7 runners be completed? (Assume there is no tie.)

A: The number of runners in the race is 7. Assume that there is no tie. Then, the 7 runners will finish…

Q: In how many ways can a chairperson and a vice chairperson be selected from a committee of 15 people?

A: For the following question

Q: in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves seated in a…

A: To find in how many ways can three classmates oliean, kagan, kelvin , and jet arrange themselves…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.