20 ways of choosing 10 cards from the deck. For j = 1,...,5, there 10 4. There are ways of choosing two cards with the number j. Hence, the answer is

Q: 20 ways of choosing 10 cards from the deck. For j = 1, ... , 5, there There are ways of choosing wo…

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Q: Suppose we want to choose 5 letters, without replacement, from 15 distinct letters. (a) How many…

A: Solution-: Here, n=15,r=5 We want to choose 5 letter, without replacement from 15 distinct letter.…

Q: An insurance agent has a list of 7 prospects and decides to telephone 5 of the prospects today and…

A: we want to find different ways can the agent telephone the prospects

Q: In how many ways can we arrange 3 boys and 3 girls in a circular table if:  All boys and girls are…

A: Given, 3 boys and 3 girls       To find, In how many ways can we arrange them if all boys and girls…

Q: In how many ways can a commitee of 9 students be chosen from 8 juniors and 10 seniors if there must…

A: Given data: 8 juniors and 10 seniors

Q: In a class, there are 6 boys and 5 girls. How many ways can we form a committee / group / team of 6…

A: The number of boys and girls in the class are 6 and 5 respectively. The committee must be formed…

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

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Q: ways can 5 balls be selected if: a. all the balls are orange? b. all the balls are green? c. all the…

A: HERE GIVEN, there are total 5+7+10 = 22 pingpong balls in box here 5 balls are selected  here use…

Q: 9. How many ordered sets of 3 even numbers are there that will add up to 60? How many different ways…

A: Combinations: The combination is a mathematical method that determines the number of possible…

Q: 1. When ordering a pizza from Alberto's, you were asked first to choose a type of crust: thin or dep…

A: "Since you have asked multiple questions, we will solve the first question for you. If you want any…

Q: Three cards are chosen without replacement from a deck of 52 cards and placed in order from first to…

A: In the deck of 52 cards, there are total 4 6's. (One for each of hearts, diamonds, spades and clubs)…

Q: Suppose we want to choose  3  colors, without replacement, from the  4  colors red, blue, green, and…

A: It is given that there 4 colors red,blue,green and purple.  and we need  to choose 3 colors without…

Q: From the deck of 52 playing cards, how many ways can 2 cards be drawn such that one is face card and…

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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: In how many different way can a person choose 2 desserts from a menu of 12

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Q: In how many ways can 15 different pizza toppings be chosen from 22 available toppings? There are…

A: No. of available toppings=22No. of pizza toppings to be chosen=15

Q: How many ways are there to pair 2n people?

A: We need to compute the number of ways in which 2n people can be paired.

Q: How many ways are there for 6 people sitting around a circular table to pick from 12 entrees so that…

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Q: Suppose we want to choose 4 letters, without replacement, from 18 distinct letters. (a) How many…

A: Permutation and combination are the techniques for estimating the number of ways of selecting the…

Q: Poker: 13.1. How many different 5-card Poker hands are there? 13.2. How many of these are 1 pair?…

A: Note: As per bartleby guidelines only first three sub parts are to be solved. Please upload other…

Q: From the 7 male and 6 female sales representatives for an insurance company, a team of 2 men and 2…

A: Given ,           No of males=7          No of females=6

Q: An insurance agent has a list of 9 prospects and decides to telephone 5 how many different ways can…

A: THERE ARE TOTAL 9 PROSPECTS AND ON THE 1ST DAY WE NEED TO CALL THE 5 PROSPECTS THEREFORE TOTAL WAYS…

Q: Suppose we want to choose 2 objects, without replacement, from the 3 objects pencil, eraser, and…

A: Let,P= pencil E= eraser D= deskHere we are using the formulae for permutation and combinations.

Q: There are 24 books on a shelf. How many ways are there to choose 10 of them so that no two of the…

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Q: An employment agency has 6 temporary workers. (a) In how many ways could 4 of them be assigned to…

A: (a) It is required to find the number of ways in which the workers can be assigned to the research…

Q: A woman wants to select 5 pair of shoes from six pairs of red shoes, 4 pairs of white shoes and 3…

A: Pair of shoes women want is 5. Pair of red shoes is 6. Pair of white shoes is 4. Pair of black shoes…

Q: in how many different ways could Dopey not be between Grumpy or Sleepy

A: Grumpy is second from the right and Sleepy is third from the left. Total positions where Dopey can…

Q: Suppose that a college of engineering has seven departments, which we denote by a, b, c, d, e,f, and…

A: Combination: The number of different selections of ‘r’ elements from a set of ‘n’ elements is…

Q: Compute the number of ways you can select n elements from N elements for each of the following: a. n…

A: We know that we can select r objects from n objects in Crn ways. Where,…

Q: If n(B) = 24, n(A ∩ B) =5, and n(A ∪ B) = 42, find n(A).

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Q: 6. A box contains 6 blue, 7 red and 4 green folders. In how many ways can 3 folders be chosen for…

A: Given that there are 6 blue, 7 red, and 4 green folders. So total (6+7+4)=17 folders   We can select…

Q: In how many ways can a hand of 9 diamonds be chosen from an ordinary deck? How can the problem be…

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