There are 8 people in a room. Each person shakes hands with each of the other people once and only once. How many handshakes take place?

Q: After a band parent meeting, each of the ten members shook hands with each other once. How many…

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Q: If 6 people greet each other at a meeting by shaking hands with one another, how many handshakes…

A: suppose if there are 3 persos A,B,C in group A shakes hand with B and C shakes hand with C If there…

Q: Don has nine pairs of shoes, six pairs of pants, and seven shirts. If all items are compatible, how…

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Q: In a​ company, 95​% of the workers are women. If 115 people work for the company who​ aren't women​,…

A: Let the total no.of workers are X. Given, 115 people aren't women . Then ,no of women workers=X-115

Q: At the dog park, there are several dogs with their owners. Counting heads, there are 12; counting…

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Q: john has 10 apples and kate took 5 away how many apples are left?

A: When kate take you are subtracting.   John  originally had 10

Q: In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each floor. How…

A: Given In an apartment complex, there are 5 windows in each apartment, and 9 apartments in each…

Q: The University of Montana ski team has fifteen entrants in a men's downhill ski event. The coach…

A: In theory of combinatorics, the way of selecting r objects from n objects with regard to the order…

Q: There are 364 students who are enrolled in an introductory biology course. If there are five boys to…

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Q: There are 860 freshmen. If that is 43% of the class, how many are in the class?

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Q: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

A: From the ten books that you’ve recently bought but not read, you plan to take four with you on…

Q: If six people greet each other at a meeting by shaking hands with one another, how many handshakes…

A: Solution: Consider the six people A, B, C, D, E, and F greet each other and shake hands The total…

Q: In a room with 10 people, everyone shakes hands with everybody else exactly once. How many…

A: Solution, If in a room  ,10 people shake hands with each other…. 1st  person will shake hand with 9…

Q: Bob has 18 coins totaling $1.50. If he only has dimes and nickels, how many of each coin does he…

A: It is known that, dime value = 10 cents, and Nickel value = 5 cents.$1.50 = 150 cents.Let x be the…

Q: Of the 60 members of a choir, 30% sing alto and 45% sing soprano. How many members of the choir sing…

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Q: If 15 people all shake hands with each other, how many handshakes are there?

A: Number of handshakes = 15C2

Q: each marble bag sold by eric's marble company contains 8 orange marbles for every 5 purple marbles.…

A: Find the number of marble bags if a bag has 72 orange marbles.

Q: In his curry chicken recipe, Reynold uses 5 cups of curry sauce for every 7 people. How many cups of…

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Q: In a colony, there are 55 members. Every member posts a greeting card to all the members. How many…

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Q: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

A: there are six boys to every five girls in an introductory Chinese course if there are 407 students…

Q: A box has 15 pens in it, a class buys 5 boxes, how many pens are are in all boxes?

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Q: The park rules require that on duty for every 50 people who visit the parl How many guards should be…

A: The park rules require that one security guard be on duty for every 50 people who visit the park.…

Q: In a bird sanctuary, 30% of the birds are hummingbirds. If there are about 350 birds in the…

A: In a bird sanctuary 30% of the birds arehumming birds. if there are about 350 birds in the sanctuary…

Q: How many handshakes are required for a group of 15 people to shake everyone's hand?

A: Given information- We have given a group of 15 people. We have to find no. of handshake required to…

Q: As a television executive, you have been given 24 shows to choose from to run during your prime time…

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Q: A local sporting goods store is celebrating its grand opening by giving a free t-shirt to every 5th…

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Q: or a particular event, 697 tickets were sold for a total of $5250. If students paid $6 per ticket…

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Q: In a music club with 15 members, 7 people played the piano, 11 people played the guitar, and 2…

A: Given that in a music club of 15 members 7 people played the piano, 11 people played the guitar and…

Q: A woman has two skirts and six blouses. Assuming that they all match, how many different skirt and…

A: As we know, nCx=n!(x)!  *  (n-x)! ; where n!=1*2*3*.....(n-1)*n

Q: The manager of the winning soccer team chooses three of the 20 members to be interviewed by a sports…

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Q: Erin invited three couples to watch a theater musical sponsored by my husband. If the 6 VIP seats…

A: There are total three couples.

Q: About 40% of Jayden's texts are to his brother. 14. If Jayden sent 1500 texts last month, about how…

A: Given that  40% of Jayden's text to his brother  N=1500 Find the number he send to his brother

Q: A teacher chooses 3 of her 22 students to help clean the room after school. In how many ways can the…

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Q: If 14% of the people in the school are 210 people, how many people are in the school?

A: 14% of the people in the school are 210  then find how many people means 100%

Q: If someone owns: 7 pants 1 shirt 5 ties 7 jackets, how many different outfits can that person make?

A: We have given that someone owns: 7 pants 1 shirt 5 ties 7 jackets

Q: In a group of seventeen people, each person shakes hands once with each other person in the group.…

A: Shaking hands in a group involves pairings of two people in all possible ways. Let we have N people…

Q: In a gathering, the host makes sure that each guest shakes hands with everyone else. If there are 30…

A: Given:Number of Guest = 30

Q: A book has 625 pages, David has red 132 of the pages, Ana has red 134 of the pages and Lucas has red…

A: Total number of pages (T.P)=625 Number of pages read by David (DP)=132 Number of pages read by Ana…

Q: On September 9th, a student in Bill Nye's science class answered one chemistry question. Each day…

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Q: Bruce has 5 different jackets, 3 pairs of jeans, and 8 pairs of shoes. In how many ways can he…

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Q: If 135 students love their English class, and 80% more love their math class, then how many students…

A: Given that  If 135 students love their English class 80% more love their math class,  To find the…

Q: A different class has 275 ​students, and 56.4​% of them are men. How many men are in the​ class?

A: The total number of students in a class is 275 out of which 56.4 % are men.

Q: At a buffet restaurant, 70 customers select tacos, 115 customers select pizzas, and 16 customers…

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Q: How many license plates are possible consisting of 4 letters followed by 3 digits if the first…

A: The license plate consists of 4 letters followed by 3 digits. Thus, it has 7 places to fill up.…

Q: In a birthday party, each person shakes hand with every other person. If there was a total of 36…

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Q: How many handshakes are nossible with 30 guests in a party?

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Q: A girl has four skirts and six blouses. How many different skirt-blouse combinations can she wear?

A: The girl can wear 4 skirts in four patterns.While she can wear 6 blouses in 6 patterns.

Q: During a summer camp, all the children have to be separated into 8 different groups. If there were…

A: During a summer camp, all the children have to be separated into 8 different groups. If there were…

Statements and Logic

Logic is the analysis of general patterns of thoughts without regard to any specific sense of context.