From the ten books that you’ve recently bought but not read, you plan to take four with you on vacation. How many different sets of four books can you take?

Q: Rafael has 5 pairs of pants and 10 pairs of shorts. How many possible ways can he choose what to…

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Q: Dan, Norie, Tobi and Anna are members of the same family. Dan is 2 years older then Anna, who is 21…

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Q: The cafeteria is offering five salads, eight entrees, nine sides, and six desserts. How many…

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Q: You bought a few packages with the same number of ping pong balls each and then you open all. When…

A: This question is related to numbers and combinations, we will solve it by using given conditions.

Q: If I have 2933 apple and I add 1 more apple how many do I have.

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

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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: For every nine students in a school, two signed up for intramural sports. That was 208 students. One…

A: let the total number of students =9x according to question 2x=208⇒x=104 implies, total number of…

Q: Tyler has a large bag of mixed jelly beans that he is eating one at a time from. If the bag has 11…

A: nPr = n!/(n-r)!  Means number of ways in which r different things can be arranged  out of n…

Q: A farmer raises 65 animals on her farm. Some are pigs and some are chickens. If they have 180 legs…

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Q: Svetlana flipped a coin 24 times, and got heads more than twelve times as often as tails.  How many…

A: Given Data: The number of times a coin is flipped is: N=24 Let, The number of times got head is H…

Q: amuel counted the number of pumpkins at each house he went trick or treating to. He saw that four…

A: we have to find total no. of pumpkin seen by samuel

Q: There are 12 flavors of ice cream, 5 toppings, and 3 types of cones to choose from at a local ice…

A: Introduction: If r distinct items are to be chosen from n items without replacement so that the…

Q: on the 12 chefs hat you own, you only have room to pick 5, how many different collections of chefs…

A: Given  Total chefs hat = 12 To pick number of room = 5 To find different collections of chefs hat…

Q: my favorite bagel shop has 12 bagels, 10 types of cream cheese, and I can choose to have a toasted…

A: There are 12 types of bagels. 10 types of cream cheese. And 2 types of toast.

Q: have 7 cats and take away 3 how many would i have left

A: Given : Total number of cats = 7

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

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

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Q: The Art Department at AUM has three painting from Mike, five by Amy , and 3 by Jack.  In how many…

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Q: piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. in how many ways can i select…

A: Given, piggy bank contains 20 pennies, 4 nickels, 7 dimes, and 2 quarters. We have to select only…

Q: If bailey has 7 bananas and she got 2 more how Many does she have in total?

A: Given, Initially  bailey has 7 bananas  Then She got 2 more bananas We have to find the Total number…

Q: A college team plays 8 basketball games during an intramural. In how many ways can the team end the…

A: Permutation of r objects from n objects is when, r number of objects are selected from the n objects…

Q: a card store received a shipment of 12 cartoons of sports cards . Each cartoon contains 20…

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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: A room has 100 people, 99% of them are men. How many men should go out so that the percentage of men…

A: A room has 100 people, 99% of them are men.

Q: One Sunday, 681 people visited the zoo. Of these, 291 were men, 135 were women, and the rest were…

A: Total people visited the zoo = 681 Total men = 291 Total women = 135

Q: An ice cream shop has 15 flavors. You also have the choice of a sugar cone, waffle cone or cup. If a…

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

Q: There are 100 students who are taking history or sociology. If 10 are taking both courses and 45 are…

A: There are 100 students who are taking history or sociology and 10 are taking both courses and 45 are…

Q: In your closet, you have 15 tops, 10 bottoms, and 8 pairs of shoes. How many ways can you dress…

A: Given Tops = 15 Bottom = 10 Shoes = 8

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.