In how many ways can the word "MATHAMATICS" be arranged if no two A's are next to one another?

Q: Which of the following statements best justifies In(n+ 1)

A: We are given the following series.               We know that ln(x) < x. So, ln(n+1)/n will…

Q: In(z,) – In(-V3 – 1) = -In(2) – 1

A: given the argument ∅ of the complex number -3-i as -5π6.and also the modulus of a complex number say…

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation: A permutation of a set is defined as an arrangement of its members into a sequence or…

Q: Mr. Jones has 10 books that he is going to put on his bookshelf. Of these, 4 are Math books, 3 are…

A: Given:- total books =10 maths books =4 Chemistry books =3 history books =2 song lyric book =1

Q: In how many ways can you arrange the letters of the word "ADVENTURE" so that D doesn't occur before…

A: Permutation is a technique to obtain the possible arrangements of listed items in linear order. It…

Q: . In how many ways can you arrange all the letters of the word TORONTO  a) that begin with a T? b)…

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Q: a Which of he pocess e satoay? that in some cases you may not be able to get an eact exresin.In…

A: a) Note that Therefore Yk has a pmf of a Poisson random variable, which implies that it is a…

Q: In how many ways can you orient the letters in the word "APPLICATION" such that A's don't sit next…

A: consider in 'APPLICATION " two A's sit together . in 'APPLICATION " n(A)=2, n(P)=2 n(L)=1 n(I)=2…

Q: 2. Let, a, = 3, az = 4 and for n2 3, a, = 2a,-1 + an-2 + 5, express a, in terms of n.

A: Introduction: The disparities between every two successive terms in an arithmetic progression (AP)…

Q: How many ways are there to assign 100 different diplomats to five different conti- nents if 10…

A: Here,  total diplomats = 100 Number of continents= 5 Also, in continent 1, 2 ,3,4,5 there sholud be…

Q: In how many ways can the letters of the word MANAGEMENT be rearranged so that the two 'A’s do not…

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Q: 8. In how many ways can four integers 1, 2, 3, and 4 permute taken a. taken two at a time b. three…

A: Given, Four integers 1,2,3 and 4 permute taken

Q: For all intgars a, if 615a, thenbla

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Q: Reject Ho if |z| > N

A: We know that  Null hypothesis H0. Alternative hypothesis H1.

Q: 3. Is this sentence consistent? “There is someone who loves exactly those people who do not love…

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Q: ash” so that neither the

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Q: In how many distinct ways can the digits in the number 1,238,229,168 be arranged?

A: We have to find in how many ways the number  1,238,229,168 can be arranged.

Q: 2. Let, a, = 3, az = 4 and for n 2 3, a, = 2a,-1 + an-2+ 5, express a, in terms of n.

A: Topic:- series sum

Q: How many phone numbers are possible in the (404) area code of the form ABC-XXXX if: A is restricted…

A: number of ways in which A can be selected (2-9) = 8 ways  number of ways in which B can be selected…

Q: If A =I then what is A'?

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Q: How many different words with or without meaning can be formed with the letters of the word…

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Q: How many different strings can be made from the letters in ATTRACTION, using all the letters, if all…

A: The given word is ATTRACTION

Q: [0,1] is not countabe. صواب İhi O

A: True

Q: There are m months in a year, w weeks in a month and d days in a week.How many days are there in a…

A: Number of days in 1 week = d Number of days in w weeks = d×w…

Q: Prove that R(5, 5) < 50.

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Q: How many ways Com you orenge lo buks bokishelfthat fhes Apace for that has space for only on a 5…

A: This is the problem of permutation and combination. So, there are 5 places for 10 books on the…

Q: In this table, the legend for is 1= male; 2=female while gender for length of service is 1=below 5…

A: Assume new employees refer to all those employees with less than 5 years of service. Given: Count of…

Q: In how many distinct orders can the sweaters be arranged if two sweaters of the same color are…

A: HERE GIVEN , A sales assistant is hanging 11 sweaters on a rack. He has 5 green sweaters, 3 pink…

Q: For this question, no explanation is required. How many strings of six uppercase English letters (A…

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Q: How many 5-digit license plate numbers can we generate from the numbers, 0, 1, 2, 3, and 4 if it…

A: As per the company policy i can answer only first question for you,more than that leads me towards…

Q: - an hen n is integel

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Q: how did the y' and 2y' apearred out of no where in line 7

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Q: 2 Form the first differentins etuntish of

A: Given equation is ey=sinx.

Q: It has been said in Seattle, Washington that at least 50% of the days are rainy.  A researcher…

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Q: VI How many combinations are there if 11 distinct things taking 4 at a time?

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Q: How many arrangements can you make in a three letter word using the letters from the word "PINGUIN…

A: To find the number of three letters arrangement make from PINGUIN .

Q: ttees of 4 men can be formed from a group of 10 Hiet 5. How many 13 boys and 11 girls? 5. How of 5…

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Q: An employee in the Department of Motor Vehicles for this state believes that it is easier for people…

A: There are 26 upper case letter, and 10 numerical digits (0 - 9). The first letter have 26 possible…

Q: 45, n-1 on? 12 1 2, ns 1, Al 7(n 11, what is the

A: This is a problem of inhomogeneous recurrence relation and counting.

Q: How many ways can we rearrange the word COLOR such that the two O's won't be next to each other?

A: We have to find no. Of permutations possible.

Q: 2. Suppose that a password for a computer system must have at least 8, but no more than 12,…

A: As Dr. S. N. De said "A permutation of a set is defined as an arrangement of its members into a…

Q: The five most common words appearing in spam emails are shipping!, today!, here!, available, and…

A: Since you have posted question with multiple sub-parts, we will solve first 3 sub-parts for you. To…

Q: In how many ways can 4 t-shirts, 7 denims, and 4 coats be arranged in a clothing store shelf section…

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Q: 5/- Show that Jim c

A: C&gt;0 Consider   y=C1n log y=log(C1n) (logab=bloga)

Q: For this question, no explanation is required. How many strings of ix uppercase English letters (A…

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Q: Suppose there are 6 girls and 6 boys in a class. In how many ways can you arrange these children in…

A: Permutations and combinations

Q: A police department released the numbers of calls for the different days of the week during the…

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Q: -Each student at State University has a student ID number consisting of five digits (the first digit…

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Q: in how many ways can you assign offices to all faculties that agree with their

A: Here given, academic building consists of 3 floor each floor consist total 10 offices out of which 3…