box contains 100 red chips, 100 white chips, and 100 blue chips! without looking, whit is the minimum number of chips that must be drawn out to be assured of getting: a) 30 chip of one color? b)10 chips of each color?

Q: How many arrangements are there of the letters of the word MATHEMATICS in which all the vowels…

A:

Q: The seven given numbers are: 5, 6, 3, 4, 1, 2, and 7. A. How many five-digit numbers can be formed…

A: Given seven numbers are5,6,3,4,1,2,7

Q: How many six-person volleyball teams be made from a group of six men and three women if: a. If two…

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: Find the number of ways to put eight different books in five boxes, if no box is allowed to be…

A:

Q: How many different arrangements are there of the letters AAAABBCCC?

A:

Q: If any seven digits could be used to form a telephone number, how many seven digit telephone numbers…

A: a) Given data, n=10 r=7 If any seven digits could be used to form a telephone number, how many seven…

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: In the game of Mastermind, player 1 makes a hidden code by placing colored pegs into holes behind a…

A: Here, the player 1 makes a hidden code by placing colored pegs into holes behind a plastic shield.…

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: How many distinct arrangements of the letters in the ( fictitious) word FOOTBALLLERS are possible?

A: Given information- We have given the word FOOTBALLLERS, we have to find the no. of arrangements of…

Q: A local city council is composed of two Democrats and three Republicans. In how many ways may they…

A: Answer: a. 120 waysb. 24 ways  Explanation:a. Since order doesn't matter, we will use the…

Q: In how many ways can 10 engineers be seated in a round table?

A: From the provided information, Total number of engineers = 10

Q: b) A drawer contains 14 white and 14 black socks, all unmatched. Ali is in a rush to school and has…

A: The pigeonhole principle is the base of counting along with the fundamental theorem of counting.…

Q: ow many five-card poker hands consist of: a) two pairs (two equal cards) b) four of the same kind…

A: here given , 5 cards hands are drawn from deck of 52 cards with given specification  there are total…

Q: In college, 200 students are randomly selected, 140 like tea, 120 like coffee and 80 like both tea…

A: Total number of students are randomly selected = 200  number of students like tea = 140 number of…

Q: c) How many different outcomes have at least 2 heads ? E) How many different outcomes have at most 7…

A:

Q: b) Suppose that repetition of letters is pemitted, How many 6 letter can be fomed from the letters?

A: Now we have to calculate ,how many 6 letter can be formed if repetition is permitted.

Q: A mobile phone shop has 7 colors of iPad, 8 colors of HCT mobile phones and four colors of…

A:

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: license plates contain 3 letters followed by 4 digits. a. how many license plates are possible? b.…

A:

Q: From a standard​ 52-card deck, how many 6​-card hands consist entirely of face​ cards?

A: The standard deck of cards contains total 52 cards.

Q: Using the digits 1, 2, 3, and 4, allowing for repetition:…

A:

Q: From the official website of a major league baseball team, it is found that there were seven active…

A: seven active player in a team to play outfield position. there are three outfield positions. no. of…

Q: A team of 22 soccer players needs to choose 3 players to fill water bottles. How many different…

A: According to the given information, we haveA team of 22 soccer players needs to choose 3 players to…

Q: A sailboat owner received 5 different signal flags with his new sailboat. If the order in which the…

A: Given A sailboat owner received 5 different signal flags with his new sailboat.

Q: Five cards are selected out of 52. In how many different ways can this be done if: they contain the…

A: total cards are 52 cards.  they are 13 clubs , 13 spades , 13 hearts ,13 diamonds clubs and spades…

Q: An order of lumber has 36 boards 12 ft long, 28 boards 10 ft long, 36 boards 8 ft long, and 12…

A:

Q: How many different ways can 6 different pencils be given to 3 students (each student will receive at…

A:

Q: Eight cards are drawn from a standard deck of cards. How many different hands are there consisting…

A: Given that eight cards are drawn from a standard deck of cards.

Q: A junk box in your room contains fifteen old batteries, five of which are totally dead. You start…

A: Since you have posted a question with multiple sub-parts, we will solve first three sub- parts for…

Q: A box of colored crayons contains 15 distinct colors. In how many ways can 4 colors be chosen,…

A:

Q: Assume that a grade of A, B, C, D, F, or NC is assigned to each of 10 students. In how many…

A: Given ,Grades are  A, B,C,D,F or NCTotal grades = 6No. of students = 10

Q: From a standard 52-card deck, how many 9-card hands consist of 5 diamonds and 4 clubs? ​

A:

Q: Eight cards are drawn from a standard deck of cards. How many different hands are there consisting…

A: given data,eight cards are drawn from a standard deck.here total outcomes = 52 cardsthere are 2…

Q: Powerball lottery requires choosing five of the numbers 1 through 59 and one number from 1 through…

A: Consider the provided question, 5 number can select from 59,  C559 ways. and, 1 number can select…

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.