For what values of nn will the number of ways of selecting nn items from 60 exceed the number of ways of selecting 15 items from a set of 90? All values of n from____through____, inclusive.

Q: A manager wants to award prizes for 1", 2nd and 3rd to his team members according to number of new…

A: We have given that the team is formed of 25 members and the prizes be awarded.    Permutation…

Q: Explain the difference between a permutation and a combination of n items taken r at a time.

A: Two types of counting problems occur so frequently that they deserve specialattention. These…

Q: In how many ways can you select two books to read from a shelf of ten books? (Order is important.)

A: Given thatr = 2 n = 10

Q: Then where a11 = " a12 = , = a13 | Q21 = . A = A=1 = 1 1 1 7 0 7 2 -66 111 121 | C31 , a = 112 113…

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Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend…

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that…

Q: For how many n ∈ {1, 2, 3, …, 1000} is n a multiple of one or more of 5, 6, or 7?

A:

Q: How The following table lists the ages and number of players per age group that are on a volleyball…

A: Let A = {volleyball players who are older than 11 years old}The following table lists the ages and…

Q: How many different ways are there to select a group of 4 out of 6 people for a seating arrangement…

A: GivenNo.of people(n)=6No.of people are selected for seating arrangement(k)=4

Q: For how many n Ee {1,2, ..., 550} is n a multiple of one or more of 9, 4, or 7?

A:

Q: How many permutations can be made out of the letters in the word CAROLINE taken 4 at a time?

A: There are 8 letters in the word CAROLINE. We can take 4 letters from 8 letters in 8P4=8!(8-4)!=1680…

Q: In how many different ways can 9 people arrange themselves in a line to receive service from a…

A: Given information: There are total 9 people arrange themselves in a line to receive service from a…

Q: Using the pigeonhole principle In a group of 100 people, at least how many people have the same…

A: Solution: From the given information, a group has 100 people.

Q: IF N{A} = 3 and N{B} = 5 what is the largest number possible for N{A⋂B}

A: N(A)=3N(B)=5

Q: For how many n = {1, 2, ..., 695} is n a multiple of one a multiple of one or more of 8, 3, or 7?

A: In the range of [1, 695] the number of numbers divisible by an integer k =  represents the floor…

Q: Let Then where a11 = , a31 = , a12 = -1/9 , a32 = 1/9 1 +-679 A = 1 1 A-¹ = , a13 = 0 a11 a12 a13…

A: a11​=11782​ a12​=117−28​ a13​=11763​ a21​=1175​ a22​=117−4​ a23​=117−9​ a31​=117−13​ a32​=11713​…

Q: There are 15 finalists in a singing competition. The top four singers receive prizes. How many ways…

A: Given data, Number of finalists in a singing competition n=15  The top four singers receive prizes.…

Q: Tennis balls are randomly toss into one of five trays. Determine the number of balls needed to…

A:

Q: For how many n = {1, 2,…, 645} is n a multiple of one or more of 8, 7, or 3?

A: n belongs to (1,2,....645) is n a multiple of one or more of 8,7 or 3.

Q: Five separate awards are to be awarded to selected students from a class of 20. How many different…

A: Given that, Five separate awards are to be awarded to selected students from a class of 20.

Q: that if 3 divides the sum of the digits of n, then 3|n

A:

Q: You are ordering an extra large pizza with multiple toppings on it. In how many ways can 8 different…

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Q: . PERMUTATIONS How many 3-digit numbers can be formed from 3 one’s, 3 two’s, and 2 three’s?

A:

Q: The number of CDs sold each week is presented below. Was there an increase in the number of CDs sold…

A: Let μd be the population mean difference between before and after. Sample size (n) = 10 Assume level…

Q: How many ways can n different flags be flown on m flag poles in a row if any number of flags may be…

A: Given ,Total no. Of flag = n No.of flag poles in a row = we have to find the ways can n…

Q: For how many n € {1, 2, . . ., 550} is n a multiple of one or more of 5, 4, or 6?

A: We know that x is used to denote the greatest integer less than or equal to x. For example: 2.5 is…

Sequence and Series

A sequence is defined as a collection of things. Series is defined to sum the things one by one in the sequence.  It was invented by German mathematician Carl Friedrich Gauss.