47: Suppose a poker hand is dealt to an engineer at a casino and the engineer would like to know how many poker hands are possible when 5 cards are dealt from 52. How many possible combinations containing 5 red cards are there? Select one: a. 65,780 b. 260 c. 112,180 d. 2,598,960

Q: 1. A girl has 6 bags, 11 dresses and 7 pairs of shoes. On how many different ways can she dress up?…

A:

Q: Suppose that 50 people buy raffle tickets. a. In how many ways can 4 people who bought tickets be…

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Q: From a group of 7 women and 8 men a committee consisting of 4 men and 3 women is to be formed. How…

A: Given, 7 women and 8 men committee size 4 men and 3 women

Q: How many five-card poker hands containing exactly one pair are possible from a deck of 52 cards?

A: five-card poker hands containing exactly one pair are possible from a deck of 52 cards:

Q: In how many ways can 3 students from a class of 15 be chosen for a field trip?

A: Total number of students in a class = 15  Number of students chosen for a field trip = 3 The formula…

Q: Eleven players have gathered to play 5-on-5 basketball. (a) If they have decided that one of the…

A: a) From a group of 11 players, we can pick a 5 player team in 11C5 ways.  When 5 players have been…

Q: 2. A clothing store wants to stock sweatshirts that come in four sizes (small, medium, large,…

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Q: Suppose a certain combination lock requires three selections of numbers, each from 1 through 25 (b)…

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

A: Given Total players = 20 We need to select 9 out of 20.

Q: 1. There are 12 athletes joining the Baguio Marathon Event, how many ways can the first, second,…

A: 1. There are 12 athletes joining the Baguio Marathon Event. First place can be chosen by 12 ways, as…

Q: Student Painters, which specializes in painting the exterior of residential buildings, has nine…

A: The number of ways r items can be selected from n different items is equal to C(n,r) . The formula…

Q: In a conference, 3 Thai, 4 Japanese, and 2 Filipinos found themselves grouped together in a…

A: Hello! As you have posted more than 3 sub parts, we are answering the first 3 sub-parts.  In case…

Q: A survey of 800 households revealed that 300 had only a TV, 200 had only a computer, and 100 had…

A: Given that, A survey of 800 household revealed that, 300 had only a computer and 100 had neither a…

Q: a. In how many ways can the letters of the word 'CORPORATION' be arranged so that the vowels always…

A: here use counting principle

Q: 2. In how many different ways can they arrange to give everybody a chance to experience the ride?

A: Number of people=7, number of bike available=4. To find the number of ways of arrangements so that…

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: In how many ways may Ana select 5 of her 10 friends to attend her birthday party? In how many ways…

A: Here use combination

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: In how many ways can 5 men and 5 women be seated at a round table if each woman is to be  between…

A: We have round table and 5 men and 5 women be seated at round table if each women is to be between…

Q: Answer the problem involving permutations and combinations. SHOW YOUR SOLUTION. 1.) In how many…

A: (1) No.of senators selected in a committee,r = 6 Total no.of senators,n = 12 The  no.of ways can…

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

A:

Q: 8. Suppose Jack has 1 red ball, 1 orange ball, 1 blue ball, 1 yellow ball, 1 black ball and 1 green…

A: Given that  Jack has  Red ball = 1 Orange ball = 1 Blue ball  = 1 yellow ball = 1 black ball = 1…

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had…

A:

Q: 1. In how many ways: a. Can 8 people be lined up to get on a bus? b. Can they be seated if 4…

A:

Q: In a birthday party, 2/3 of the children were 8 years old, 2/3 of the remaining are 9 years old, and…

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Q: Suppose a 5-card hand is dealt from a standard deck of 52 cards. How many 5-card hands can be formed…

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Q: 41 children need to be assigned to five Tee ball teams. The league wants each team to have 8…

A: Given that, 41 children need to be assigned to five Tee-ball teams. In order to assign all the…

Q: 5. Rowena would like to invite 7 friends to go on a trip but has room for only 4 of them. In how…

A: Combination:   It is nothing but the selection of objects where the order of selection is not…

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: (1) How many ways are there to pick a 5–person basketball team from 14 possble players? (ii) How…

A: In this question, we have to use the method of permutation and combination to answer the following…

Q: 3. Anabelle would like to invite 9 friends to go on a trip but has room for only 5 of them. In how…

A: Question: Anabelle would like to invite 9 friends to go a trip but has room for only 5 of them . In…

Q: in how many ways can a hand of 5 cards be dealt such that 2 are black and 3 red cards?

A: Given:  There are 52 cards on the deck. There are 26 red and 26 black cards on the deck. Formula…

Q: 2) Abby is adopting kittens from the pet store. If there are 18 kittens, how many ways can she…

A: In this question we have to find in how many Abby choose two kittens if there are two kitten .

Q: A senate committee has six LP members and three UNA members. In how many ways can they be seated…

A: Given: 6 LP members 3 UNA members. Total = 9 members

Q: Suppose that your friend owns 9 PlayStation games and you would like to borrow 4 of these games. In…

A: Permutation and combination used to calculate the number of possible ways to arrange or select a…

Q: 1. In your drawer, there are 6 identical pairs of purple socks, 7 identical pairs of polka dot…

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Q: 3. a. How many ways can the letters of the word EMULATOR be written in a row? b. How many ways can…

A: We are entitled to solve only 3 subparts of a questions so, I am providing you the same. Kindly…

Q: The soccer team has 20 members and will elect P, VP, T and S. In how many ways can this be done?

A:

Q: How many ways can A, B, C, and D be arranged to the __ __ __ __ if D is restricted to the third and…

A: Let A,B,C and D be the four letters that we have to arrange. Given: D is restricted to the third and…

Q: Each employee at a large company is to be issued a computer ID code that consists of three letters…

A: From the given information, Total number places in the employee ID that needs to filled up =6 Total…

Q: From a group of 10 men and 5 women, how many committees of size 5 are possible? a.) With no…

A: Given From a group of 10 men and 5 women, how many committees of size 5 are

Q: 10. If there are 15 people and only 2 chairs are available, in how many ways can they be seated?

A: Explanation: Given that,  Number of people=15 Available chairs=2     Formula Used: Crn=n!r!·(n-r)!

Q: 9. In how many ways can 4 b sit between two boys?

A: 9)  Given, 4 boys and 4 girls should be seated at a round table Each girl is to sit between 2 boys.…

Q: 26. A committee of 6 officials is to be chosen from 8 men and 7 women. If the committee is to…

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Q: how many hands of 33 cards can be made, where all cards are of the same suit?

A:

Q: From a club of 16​people, in how many ways can a group of six members be selected to attend a​…

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Q: _6. Rylan's basketball team has 11 players. How many ways can his coach choose five starting…

A: Given;  1): No of player =11  To choose 5  starting players from the 11 players then nonof ways ?…

Q: 43% of the students in a school are boys. If there are 399 girls in the school, what is the entire…

A: The term per cent means for every hundred. A fraction whose denominator is 100 is called a…

Q: 3. How many ways can 7 cards be chosen from a standard deck of 52 cards?

A: In the given problem, we have 52 cards. We have to find the number of ways for which we can choose 7…