1. There is a deck of 52 cards. How many ways are there to distribute 13 cards to each of 4 players?

Q: 1.) How many ways may 4 cards be drawn randomly from a deck of 52 cards? 2.) How many ways may 5…

A: Solution-: We find, (1) How many ways may 4 cards be drawn randomly from a deck of 52 cards? (2) How…

Q: If 5 cards are dealt from a standard deck of cards, how many different ways can three clubs and two…

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Q: How many ways are there to choose three cards from a standard 52-card deck without choosing any…

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Q: In how many ways can a male president and a male or a female vice-president be selected out of 5 men…

A: To determine the number of ways in which a male president and a male or a female vice‐president be…

Q: how many ways can five persons line up to get on a bus?

A: The number of persons is 5.

Q: 3. In how many ways can a team of six be chosen from 20 players so as to (a) include both the…

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Q: In how many ways can two cards be drawn from a deck of cards?

A: Given that  Total number of cards=52 2 cards are drawn  Find the number of ways

Q: In how many different ways can the director of a research laboratory choose two chemical engineers…

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Q: 4) A newly formed company of 24 partners wants to select a President, Vice-President and Secretary.…

A: This Problem can be solved by permutation and combination. Permutation is number of possible…

Q: n a group of 37 children, 28 had a dog, 21 had a cat, and 17 had both a dog and a cat. How many…

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Q: 1| A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

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Q: In a friend group of six, how many ways can we arrange them in a line for a photograph?

A: In a friend group of six, we have to arrange them in a line for a photograph.

Q: Given a deck of 52 playing cards, in how many ways can a hand of 5 cards be dealt such that exactly…

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Q: 1. In how many ways can a committee of three be formed from a group of 10 members?

A: 1. Answer: In 120 ways can a committee of three be formed from a group of 10 members.

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

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Q: In how many ways can a group of 5 men and 2 women be made out of a total of 7 men and 3 women?

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Q: In how many ways a team of 4 representatives can be chosen in a class of 12 students consisting of 5…

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Q: 5. How many arrangements can be made from 4 boys and 4 girls if they have to sit in a roundtable and…

A: We have given that  Number of boys=4 Number of girls=4

Q: 4. Your school is hosting a Mathletes competition in which senior and junior teams will be entering.…

A: Selection of x items from n objects can be represented by combination  Cxn and arrangement of same…

Q: 19.In how many ways can 4 girls and 3 boys be arranged around a camp fire if the 4 girls must be…

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Q: In how many ways can an HR department head choose one or more applicants from six eligible…

A: Number of eligible applicants=6Choose one or more applicants Let, Number of ways=n=?

Q: In how many different ways can the director of a design and structural department choose 2 Civil…

A: Given: Number of applicants to be chosen from 7 applicants are 2. Number of applicants to be chosen…

Q: In how many ways can a president, secretary and treasurer be selected from a group of 15 people?

A: we know that one person cannot hold more than one post (president, secretary and treasurer) then we…

Q: In how many ways can 7 students from a class of 28 be chosen for a field trip?

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Q: In how many ways can a group of 6 students be selected from 7 students?

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Q: In how many ways can 5 red and 4 white balls be drawn from a bag containing 10 red and 8 white…

A: It is given that, a bag containing 10 red balls and 8 white balls. From this bag 5 red balls and 4…

Q: In how many ways can you invite one or more of your five friends to a party?

A: There are total 5 friends available among which 1 or more than 1 friends can be invited to the…

Q: In how many ways could a club of 12 members choose a president, Vice President and a treasure?

A: GIVEN DATA : There are 12 members in the club. TO FIND : Number ways 12 members can choose a…

Q: 3. How many different sets of five cards each can arrange froma standard deck of 52 cards?

A: We have to find how many different sets of five cards each can be arranged from a standard deck of…

Q: Note that there are 5 cards in a hand. -Jim Hendrickson (1) How many different hands contain exactly…

A: a) Given that there are 5 cards on hand . Obtain the number of different hands contain exactly 4…

Q: In how many ways can we distribute 10 indistinguishable oranges and 1 tangerine among 3 children…

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Q: In how many ways can a bag of three identical balls and four identical coins be formed from a group…

A: Given: Total number balls =12 Total number coins =12

Q: 1. The IE Falcons plays 14 games during the COE Basketball Tournament. In how many ways can the team…

A: Note- As per our policy we can answer only 1st question. If you want solutions for other, then you…

Q: In how many ways can a person choose three movies to watch from a collection of 7 suggested movies?

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

Q: Consider a shipment of 50 laptops of which four are defective. A. In how many ways can we select…

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Q: 2. In how many ways can six students be seated in a row of six seats if two of the students insist…

A: We have to arrange 6 students on 6 chairs in a row out of which 2 particular students sits beside…

Q: In how many ways can nine students be partitioned into three teams containing four, three, and two…

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Q: In how many ways could 16 people be divided into five groups containing respectively 4,2,3,6 and 1…

A: There are totally 16 people in which divided into five groups containing respectively 4,2,3,6 and 1…

Q: 7. How many ways are there that in a class of 60 students, 2 students will not have the same birth…

A: Here Given 60 Students  Now Assume that there is 365 Days in one year

Q: A shipment of 14 television sets includes three that are defective. In how many ways can a hotel…

A: As per our guidelines we suppose to do only one question1.GivenNo.of television =14No.of defective…

Q: Given a class of 12 girls and 10 boys. In how many ways can a committee of five consisting of at…

A: Given aclass of 12 girls and 10 biys

Q: n a class of 280 first year students, 65 study only Spanish, 100 study Chemistry, 175 study…

A: Given: There are 280 students in a first year class. 65 students study only Spanish. 100 students…

Q: In how many ways can a committee of 12 men and 12 women be selected from a panel of 36 men and 40…

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Q: Refer to a bag containing 20 balls—six red, six green, and eight purple. In how many ways can we…

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Q: If 6 out of 30 people over the age of 100 are male, Ho our of 30 people over the age of 100 are…

A: Given that The number of total people=30 Number of male over aged of 100 =6 Then we have to find the…

Q: In how many ways can a PICE chapter with 30 directors choose a president, a vice president, a…

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Q: In how many ways can a committee of two men and three women be formed from a group of nine men and…

A: In how many ways can a committee of two men and three women be formed from a group of nine men and…

Q: 2. In how many ways can three singers and four dancers be chosen to make a team if there are seven…

A: We have to find in how many ways three singers and fours dancers be chosen to make a team if there…

Q: In how many ways can a class of 32 students select a president, vice president, treasurer, and…

A: Given, Total number of students = 32  Selected students : 1 President, 1 vice president, 1 treasurer…

Q: In how many ways can 3 students be selected from a group of 12 students to represent a university in…

A: Given data: Total students = 12 3 students  selected  randomly To find: In how many ways can 3…