Major League Baseball teams maintain a 25- man roster and also a 40- man roster. Players on the 25- man roster may play in official games throughout the season. The additional 15 players on the 40- man roster may play in games starting September 1. a) how many 9-player batting orders are possible from a 25-man roster? b) How many 9-player batting orders are possible from a 40-man roster

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

A:

Q: There are 91 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: The first can be picked in 91 ways  Second in 90 ways  Third in 89 ways

Q: A brand of jeans comes in nine different washes, five different fit styles, and three different…

A: Given that there are: 9 different washes, 5 different fit styles, 3 different height options.   2 of…

Q: There are 75 golfers in today’s golf tournament. How many ways can first, second, and third be…

A: Solution: From the given information, there are 75 golfers. Suppose there are n objects are arranged…

Q: If the goal keeper and defender should be selected from Class X that has 40 students for school…

A:

Q: An insurance company has six branches in six states. Find the number of ways in which six branch…

A:

Q: The basic blood types are represented by letters: A, B, AB, and O. There is also an Rh factor…

A: Given variables:1. Blood types: 4 (A, B, AB, O)2. Rh factors: 2 (Positive, Negative)3. Genders: 2…

Q: In a school of 100 students, 70 students play either football or cricket with 40 students that play…

A:

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: A survey of 100 people found that 75 carried a cell phone, 12 carried a tablet computer, and 8…

A: Use union and intersection forumula for sets to solve.

Q: From a list of 39 captains, 8 are to be promoted to major. In how many ways can this be done?

A: We need to find the value by combination rule

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

A: Given Data : There are 90 members in the church To Find : Total number of handshake   In the…

Q: Out of forty students, 14 are taking English Composition and 29 are taking Chemistry. If five…

A: The number of all students, The number of students in chemistry only, The number of students in…

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: In a deck of 52 playing cards, how many 4-card hands are there that are made up of only red cards?

A:

Q: There are 12 people at a party. If they all shake hands, how many different hand-shakes are there?…

A:

Q: An electronics store receives a shipment of 30graphing​ calculators, including 6 that are defective.…

A: Total graphing​ electronics calculators receives the store at shipment (n) = 30 Number of defective…

Q: are 12 members in the local garden club. In how many ways can a president and secretary be chosen…

A: According to the sum, There are 12 members in the local garden club.  A president and A secretary…

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: An office building has six doors. In how many ways can a person enter the building through a…

A: When a number of things are arranged in some order or a rearrangement is made for those things, this…

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 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: The mayor, together with 4 of his councilors is holding a meeting with 6 city volunteers. How many…

A: It is given that the mayor and 4 councilors is to attend the meeting with 6 city volunteers.

Q: A standard deck of 52 playing cards consists of 4 suits and 13 cards each. How many different 5-card…

A: Total number of plying cards = 52 There are 26 black and 26 red cards  There are 4 suits in the deck…

Q: Before a trial, a jury had to be selected from a group of 12 males and 13 females. a. In how many…

A:

Q: A State's License plates consist of 4 letters followed by 5 digits. How many possible license plates…

A: Given, a state's License  plate consist of 4 letters followed by 5 digits.

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: There are 10 board members on the Community Arts Council. In how many ways can a president and…

A:

Q: A baseball manager wants to arrange 9 starting players into batting order. How many different…

A: given data  arrange 9 starting players into batting order.

Q: 12 In how many ways can a starting line up composed of 5 players be selected from a team with 14…

A: It is given that n=14 and r=5.

Q: 1) 4 units up and 2 units left II

A:

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.