In an annual sports meet, 9 students compete in 2 events (the 100 meter and 1000 meter race). How many ways can two winners can be picked?

Q: At a restaurant, there are 4 choices of appetizers, 6 main courses and 5 desserts How many different…

A: In 3 course meal, there should be 1 appetizer, 1 main course and 1 dessert. So, 1 appetizer can be…

Q: 8 fencers compete in a fencing competition. If each fencer combats one match with each other fencer,…

A: Given data 8 fencers compete in a fencing. Each team will play 7 matches. So total 8 teams So,

Q: An initial survey was given out to determine shopping preferences and age group. On the survey,…

A: Given that there are 4 shopping preferences and 6 age groups.  Using the fundamental counting…

Q: Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

A: Find the number of ways to distribute 12 people into 3 classrooms, empty classrooms are allowed.

Q: 7 At the basketball game last night, the home team was losing by 48 points at halftime, so fans…

A: Introduction: It is required to find the number of people left by the end of the game.

Q: In an election for Homecoming King, 500 votes are tallied for 3 candidates: Bobby, Frank, and Hao.…

A: A detailed solution is given below.

Q: A school has 3 computer labs with 9 computers in each. How many computers are there in the school?

A: A school has 3 computer labs with 9 computers in each. We need to find how many computers are there…

Q: Naia has 4 pairs of shoes (white, black, gray, maroon) and 3 bags (red, blue, green). In how many…

A: Given Naia has 4 pairs of shoes and 3 bags we have to find number of shoe-bag combination.

Q: There are 21 juniors and 29 seniors trying out for the basketball team. You need 14 students for the…

A:

Q: In a box 20% balls are white, 33% balls are blue, 27% balls are red and rest are green. If the…

A: In a box 20% of balls are white, 33% of balls are blue, 27% of balls are red and the rest are green.

Q: race with 28 entries awards prizes to the three fastest (first through third place). How many…

A: Number of prizes = 3

Q: In a competition, junior chefs make a gourmet soup by selecting 10 different ingredients. How many…

A: GivenNo.of different ingredients(n)=10No.of ingredients must include(r)=4

Q: An artist with a palette of 13 colors designs a flag with 3 different vertical stripes. Find the…

A: Total = N = 13 colours ,  r = 3 different vertical stripes  To select r things from N things (…

Q: When rolling two standard number cubes (6-sided die), one of the possible outcomes is 6 and 6. How…

A: Topic : permutations and combinations

Q: An architect designs a theatre with 6 seats in the first row, 7 seats in the second, 8 in the third,…

A:

Q: town has a population of 70,230 in the year 2020, over the next five years 6556 people move into…

A:

Q: At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.How many different three…

A: Ans#-  Given, At a restaurant you can choose from 3 appetizers 8 entrees, and 2desserts.…

Q: 120 students took part in a cross-country race. 30% of them finished the race within the qualifying…

A: It is given that in a cross-country race, 120 students participated and out of them, 30% of the…

Q: In a group of 65 people, 40 like cricket, 10 like both cricket and tennis. How many like tennis only…

A:

Q: There are 80 coins in a piggy bank of which 75% are quarters. What is the least possible amount of…

A:

Q: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. Determine the…

A: Given: A committee of 3 men and 2 women is to be chosen from a group of 12 men and 8 women. To Find:…

Q: A high school principle plans to visit classrooms of 5 teachers in one day. If there are 32 teachers…

A: The formula for combination is nCr = n! / [r! (n – r)!] = [n (n – 1) … (n – r + 1)] / r!.…

Q: A disc jockey has 7 songs that he must play in a half-hour period. In how many different ways can he…

A: He can pick first song in 7 ways Second song in 6 ways Third song in 5 ways and so on.7th song in 1…

Q: Mrs. Decker's Diamond Dotz class has twenty-four students. If 30% of the class finishes their…

A: Given:   Class has 24 only    Classs finsihed = 30%

Q: 72% of the students at Thomas Jefferson Middle School are attending the volleyball game. There are…

A: Given: total students in the school is 300 Now, if 72% students attend the volleyball game then…

Q: How many matches are played in a badminton tournament of 27 players?

A: Sol

Q: An ice cream store stocks 30 different flavors and offers rainbow banana boat split that contains 3…

A: Given, An ice cream store stocks 30 different flavors  It offers rainbow banana boat split that…

Q: A theater has 30 seats in the first row, 32 seats in the second row, in- creasing by 2 seats each row…

A: Total number of rows = 26Increment in each row = 2So, starting from the first row, we have 30 seats,…

Q: At a swim meet, there was a 100 m Butterfly race. If the race had 16 swimmers, how many possible…

A: From the information number of swimmers is 16 and the number of ways that first, second, third and…

Q: If there are 5 logs in a pile of 30 that have sap on them, how many logs will have sap out of 360?

A: Given:--Number of logs that have sap on them in pile of 30 = 5 To Find:- Number of logs that have…

Q: joy is a dental sales representative who wants to distribute 16 brochures and 14 pamphlets to local…

A: According to the given information it is required to find greatest number of dental offices Joy can…