DJ Rocky wants to organize 127 CD’s into storage boxes. Each storage box can hold a maximum of 10 CD’s. What is the minimum number of storage boxes need? a) Given

Q: A senior inspector will inspect 10 rooms this week. (d) To have a fair representation, how many…

A:

Q: A thief steals an ATM card and must randomly guess the correct four-digit pin code from a 6-key…

A: It is given that the number of keys in keypad is 6.

Q: Out of the letters P, Q, R, x, y and z, the arrangements can be made beginning and ending with a…

A: Given information: Total no. of letters=6Total no. of Capital letters=3(P,Q,R)Total no. of small…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A: Given information: No. of math books: 6No. of science books: 5No. of english books: 4Total no. of…

Q: Use 2 different arrays to show different ways to multiply to 24.

A:

Q: A cooking pot comes in blue, green or white enamel, with wood or synthetic handles, and with either…

A: There are 3 enamels (blue, green or white), 2 handles ( wood or synthetic), and 2 bottoms (plan or…

Q: A manufacturer purchased 7,756,658 identical bolts. Each engine assembly uses 8 of these bolts and…

A: Total bolts used for each engine for assembling and transmission is,

Q: There are 8 people at an office meeting. How many handshake

A: Formula: If there are n persons, The number of handshakes is, nn-12

Q: The email address password of Engr. Moncada consists of a letter of the English alphabet followed by…

A: As there are 26 letters in alphabet (A-Z) and 10 numbers (0-9). So for password having a letter and…

Q: license plates in Florida have the form A243BSDE; that is, a letter followed by 3 digits followed by…

A: The license plates in Florida have a letter followed by 3 digits followed by 4 more letters.

Q: a tree  can be  deciduoud or evergreen,native or exotic and its use can be ornamental or for timber…

A: Note that tree is either deciduoud or evergreen. So, 2 options for this feature. Now, the tree can…

Q: Florida uses three letters followed by three number digits for license plates using all letters in…

A: Given: Florida uses three letters followed by three numbers.  To find: Number of license plates…

Q: Any possible arrangement of 8 letters is considered a word.  The letters are taken from 21…

A:

Q: Four books, one each of Geotechnical Engineering, Algebra, Trigonometry, and Calculus are to be…

A:

Q: Five-sevenths of the students at a nearby college live in dormitories. If 4000 students at the…

A: Given that: Five-seventh of the students nearby the college live in dormitories. The number of…

Q: . How many different arrangements are there of the letters in ABBACACB? 620 280 360 560

A:

Q: The Reverend minister of a church always insist that every member shake hands with every other…

A: Given: Number of person is, n=90. Number of times required handshake is 1 time. The objective is…

Q: A boat manufacturer has 146 new boats of a new model to be apportioned to four dealerships. The…

A: Given:It is given that,DealershipTotalAnnual sales471034282900210213,140Also, given that the…

Q: Matraville Public School installs an intercom system. All 9 classrooms, a staffroom and the main…

A: Given: Matraville Public School has installed an intercom system. There are 9 classrooms, a…

Q: Suppose that I want to purchase a tablet computer . I can choose either a large,medium or small…

A:

Q: License plates consist of 3 letters followed by a 3-digit whole number. How many different license…

A: Given information: License plates consist of 3 letters followed by 3-digit whole numbers.

Q: The president has a team of 20 trusted bodyguards. In how many ways can the president choose 5…

A: Given,  The president has a team of 20 trusted bodyguards  We have to find the number of ways of…

Q: A license plate is to have the following form: three letters followed by three numbers. An example…

A: There are 26 letters (A-Z) and 10 numbers (0-9) We can pick each letter in 26 ways and we can pick…

Q: Entrance codes at AWC require four numbers, which may be 0 thru 9 and may be repeated. How many key…

A: Multiplication rule of counting: If a task consists of a sequence of choices in which there are ‘a’…

Q: 3) Mr. Rodriguez needs to select 9 players for his basketball team. There are 20 available players .…

A:

Q: A restaurant offers a menu with 3 starters, 6 main courses and 7 desserts. a) How many different…

A: (a) We assume that a 3-course meal include one starter, one main course and one dessert.      Then,…

Q: National Survey on Drug Use and Health, conducted in 2002 and 2003 by the Office of Applied Studies,…

A: Data of the National Survey on Drug Use and Health, conducted in 2002 and 2003 by the Office of…

Q: The English alphabet contains 21 consonants and 5vowels. How many word of length 4 can you write all…

A:

Q: A fence is composed of x posts, each of which is 2 cm wide. If there is 4 cm of space between each…

A: The fence consists of x posts. Each post is 2cm wide.  In between x posts there are (x - 1) spaces…

Q: Suppose Set A contains 88 elements and Set B contains 39 elements. If the total number elements in…

A: There are two sets A and B. n(A)=88, n(B)=39 and n(A or B)=125.

Q: At Baskin Robbins customers may choose from 32 flavors of ice cream, 7 toppings, and 4 different…

A: We know the formula for combinations is                                 nCr= n!r!(n-r)! Given, at…

Q: Ann remembers the last four digits of a seven-digit telephone number but knows only that each of the…

A: Given that Ann remembers only last four digit of a seven digit telephone numbers and first three…

Q: Fifteen books are to be places in a shelf. The 15 books are composed of: 6 math books, 5 science…

A:

Q: Seven bands are to perform at a weekend festival. How many different ways are there to schedule…

A: Seven bands are to perform at a weekend festival.

Q: A pizza restaurant has 11 toppings. How many different 4 topping pizzas could be made

A:

Q: find the total number of arrangements of 6 books on a bookshelf if only 3 are used Find

A:

Q: A biologist is attempt initials should he uSE

A: Givena biologist is attempting to classify 900 species of insects by assigning 2 initials to each…

Counting Principles

In statistics, the counting principle can be said to be the concept in which the quantity of an item is determined. There can be a single item, or a group of items, or items that are related to each other. In every possible set of items, the quantity of the possible item groups or their sorting measures can be determined with counting principles.