The first box contains 5 apples, the second box contains 7 apples, the third box contains 9 apples and so on. Each box is unique, i.e., there is only one box with 5 apples, only one box with 7 apples and so on. How many boxes should you buy to get 140 apples?

Q: A fan of country music plans to make a custom CD with 13 of her 27 favorite songs. How many…

A:

Q: A lady has 4 dresses and she want to leave 2 of them behind and bring the rest with her on the trip.…

A: The objective of this question is to find out the number of ways the lady can choose 2 dresses out…

Q: Apple decided to give an apple watch to the first person in line, an iPhone to the second person in…

A: From the given information, Apple decided to give apple product to all three persons who stand up in…

Q: A value meal package at Ron's Subs consists of a drink, a sandwich, and a bag of chips. There are 4…

A: Solution: From the given information, there are 4 types of drinks, 4 types of sandwiches and 2 types…

Q: A class has 32 students.  18 have hats, and 17 do not wear glasses.  5 students wear glasses but do…

A: We use ven diagram to solve this problem.

Q: Of 16 possible​ books, you plan to take 3 with you on vacation. How many different collections of 3…

A: See the handwritten solution

Q: Of 20 possible books, you plan to take 9 with you on vacation. How many different collections of 9…

A:

Q: If you want 30 shirts and you need to pack for shirts for a trip how many ways could you pick the…

A: This question is a arrangements question

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: John went to a pastry Shop in New York. He went to order 6 pastries and the store had 4 different…

A: Given: Types of pastries: E, F G and H.

Q: If Tim has 6 apples in each bag and he has 12 bags each, how many apples does he have all together?

A: Use unitary method.

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

Q: He can wear ?  different outfits.

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

Q: A group of friends have met at the park to socialize and play a game. Juan and Mary have been chosen…

A: There is group of 21 friends. Out of which Juan and Mary have been chosen as team captains.  Hence,…

Q: Jennifer has 4 black bags. She has 15 seeds in the black bags. She has arranged the seeds in the 4…

A: Given : Number of bags = 4 Number of seeds = 15 None of bag is empty and all bags have different…

Q: Of 13 possible​ books, you plan to take 4 with you on vacation. How many different collections of 4…

A: The objective of this question is to find out the number of different collections of 4 books that…

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: 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: At a race track you have the opportunity to buy a ticket that requires you to pick the first and…

A:

Q: At a deli counter there are 7 sandwiches with meat and 6 vegetarian sandwiches. Carols is at the…

A:

Q: A parent brings 4 children to a movie and the family sits in a row of 5 seats. How many ways can…

A: There are total 5 members to sit. 4 of them are children and one parent. The parent sit on one one.…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.