700 people went to the amusement park. 500 of them went on a roller-coaster, 100 of them went to the haunted house, and 50 of them went to the water slides.  60 who went on a roller-coaster also went to the haunted house, 10 who went on a roller-coaster also went to the water slides and 5 who went to the haunted house also went to the water slides. 2 people went on all three.  How many people did not go on any of the three?  How many people only went to one?  Create a Venn diagram to show the relationship.

Q: David has bought 4 tickets for a concert. 1 is for himself. The other 3 he will give to 3 friends to…

A: If, there are n items and need to select r items among them, we can select them in Crn=n!r!×(n-r)!…

Q: During the fall semester a school is offering science courses in physics, biology, and chemistry,…

A: It is given that there are science courses in physics, biology, and chemistry, and humanities…

Q: Tom has 16 blue pencils, of which 12 are striped dark blue and light blue, and the rest are solid…

A: There are 16 blue pencils and 9 red pencils out of which 12 are striped dark blue and light blue and…

Q: Ethan owns 8 pairs of pants, 4 shirts, 4 ties, and 3 jackets. How many different outfits can he wear…

A: The above example is an example of a combination. we have to find different combinations of outfits.

Q: Your little cousin will have a big animal-themed birthday party and you will help with goody bags.…

A:

Q: A basket ball team has 5 guards, 7 forwards, and 3 centers.  How many ways are there to have a…

A: A basket ball team has 5 guards, 7 forwards, and 3 centers. How many ways are there to have a lineup…

Q: Sarah has to put an outfit on a mannequin every day at her job. if there are 5 shirts, 4 pants,  and…

A: Number of shirts= 5 Number of pants= 4 Number of hats= 8

Q: At a certain French restaurant, a multi-course meal is offered, where patrons can choose from…

A:

Q: He can wear ?  different outfits.

A: Juan owns 1 pairs of pants, 5 shirts, 4 ties, and 1 jackets.

Q: An ice cream store has 30 flavors to select from. A customer who is a connoisseur of ice cream wants…

A: We have to select three different flavors from a ice cream store which has 30 flavors. Since, here…

Q: The California license plate has one number followed by three letters followed by three numbers. How…

A: GivenCalifornia license plate has one number followed by three letters followedby three numbers…

Q: Your roommate has six pets (fish, cat, tur- tle, dog, rock, and pony). He will take three of his six…

A: Given that Your roommate has six pets (fish, cat, tur- tle, dog, rock, and pony). He will take three…

Q: A man owns 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets. How many different outfits can he…

A: Given he has 8 pairs of pants, 15 shirts, 12 ties, and 3 jackets

Q: A boy owns 7 pairs of pants, 2 shirts, 20 ties, and 7 jackets.  How many different outfits can he…

A:

Q: Cameron has five different pairs of shoes that match with six different pairs of socks. How many…

A: There are five different pairs of shoes that match with six different pairs of socks for Cameron.

Q: You have 10 houses in a row on a one side of a street, going from left to right. You are to paint…

A: Number of houses = 10

Q: An Amazon merchant is selling baseball hats that come in 4 different colors: black, white, blue, and…

A:

Q: bag of lollipops is shared among a group of children, where each child receives 10 lollipops. 6 more…

A:

Unitary Method

The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products. 

Speed, Time, and Distance

Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 miles away.

Profit and Loss

The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.

Units and Measurements

Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experiments to set up the devices.