In how many different ways can the letters of the word 'DETAIL' be arranged in such a way that the letters AI, and E occupy only the odd positions? 3! x 3! 3! + 4! c) 3! x 4! 6!/3!

Q: 1. If N = 12, k = 8, and n = 5. Find P(2). %3D

A: X follows a hypergeometric distribution with N=12, K=8 and n=5 and k=2 We will use the formula:…

Q: How many ways can the letters of the word PROMISE be arranged so that the vowels always come…

A: Given word is PROMISENumber of vowels in word PROMISE…

Q: Suppose we want to choose 5 objects, without replacement, from 16 distinct objects. (a) If the order…

A: In this question, we want to find the number of ways if the order of choice is relevant and not.…

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A: Introduction: According to the combination rule, if r distinct items are to be chosen from n items…

Q: 1. How many 3-digit numbers can be forms from the four digits 0,1,2,3 if: a) no two digits are to be…

A: 1) How many 3 digit numbers can be formed from the four digits 0, 1, 2, 3 if: (a) no two digits are…

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: 1. How many 3-digit numbers can be forms from the four digits 0,1,2,3 if: a) no two digits are to be…

A: Given: Numbers 0, 1, 2, and 3.

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: 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: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

A: Suppose we want to choose 3 objects, without replacement, from the 4 objects pencil, eraser, desk,…

Q: How many ways can the letters of the word MAILBOX be arranged in a row so that  M and A Not…

A: Thanks for the question :)And your upvote will be really appreciable ;)

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

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Q: 5. a) How many ways can 6 people be lined up to get on a bus? b) If a certain 3 persons insist on…

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Q: 10. How many numbers greater than 500 can be formed from the digits 2, 3, 5, 8, and 9 using each…

A: Given Data : The given numbers are : 2,3,5,8 & 9 To Find : Total numbers greater than 500 formed…

Q: Peter, Meg, Stewie, Lois and Chris are all in a club together, how many different ways can they have…

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Q: In how many ways can 7 books be arranged on a shelf if (a) any arrangement is possible, (b) 3…

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Q: Please answer these questions correctly with shown work. 1. How many different combinations of…

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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…

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Q: ash” so that neither the

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Q: In how many ways can 10 balls be placed into 4 boxes with no box being empty if: a) the 10 balls…

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Q: 10. Suppose there are 10 women and 8 men who teach at a private school. Please simplify your answers…

A: a) There are two cases for the given situation. Case 1.  2 teachers are women and 1 is man. Case 2.…

Q: In how many ways can you arrange 6 distinct maths books and 5 distinct physics books on a shelf, if…

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Q: In how many ways can the letters u, v, w, x, y, z be arranged so that the letters u and v are…

A: Given: letters u, v, w, x, y, and z

Q: A mail man has special -delivery for 10 customers. (i) In how many ways can he deliver to all? ii)…

A: i) deliver to all means arranging 10 customers in  all ways possible Total number of ways = 10! =…

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A:

Q: 5. a) How many ways can 6 people be lined up to get on a bus?  b) If a certain 3 persons insist on…

A: Given numbers of people. 6 people

Q: A baseball fan has a pair of tickets for six differenthome games of the Chicago Cubs. If he has five…

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Q: 11. Consider the word "ADDISABABA" (i) (ii) (iii) In how many ways can the letters of the word be…

A: We have given the word ADDISABABA.  We have to find the number of arrangements of the letters of…

Q: Suppose we want to choose 5 objects, without replacement, from 8 distinct objects. (a) If the order…

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Q: 3) Show that 1-2+2-3+3-4+…+(n – 1) - n is O(n³). Also state the values for witnesses C and

A: Hi! You have posted multiple questions. As per norms, we will be solving only one question. We will…

Q: 3. How many possible ways to assign a room for each of the 5 students, suppose we have 8 rooms…

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

Q: n how many distinct ways can the digits in the number 1,243,520,326 be arranged? (If there are any…

A: Given number 1,243,520,326 Total number of digits=10 Number of 1's=1 Number of 2's=3 Number of 3's=2…

Q: 9. Consider a number with 8 digits but using only digits 1, 2, 3 and 4. a) How many numbers can we…

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Q: 3. How many different ways are there to choose 6 items from 10 distinct items if... a. .the order of…

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Q: This is a question in discrete math and requires us to find the actual number of ways for these…

A: Seven numbered red balls and three indistinguishable blue balls are to be placedin five labelled…

Q: a) How many ways are there to do this?

A: nCr=n!r!(n-r)!

Q: How many arrangements of the letters in MATHEMATICS are there in which TH appear together but the TH…

A: a) The objective is to find that how many arrangements of the letters in MATHEMATICS are there in…

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: many are odd? (d) how many are uunupres - In how many ways can a party of 7 persons arrange…

A: Given that there are 3 boys and 2 girls. There are a total of 5 people.(a) Since, there is no…

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Q: A bowl contains 7 red balls, 5 white balls, and 3 green balls. In how many ways can 3 balls be drawn…

A: Given,no.of red balls=7no.of white balls=5no.of green balls=3Total no.of balls=15

Q: In how many ways can a person select seven party guests from 12 women  if he is to avoid having a…

A: Here we will use the concept of Combination

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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…

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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 the numbers 1,2,3,4,5,6,7 be arranged so that  a. 1 and 7 are adjacent? b. 1…

A: a) If 1 and 7 are adjacent then we consider 1,7 as one number.  It can be 17 or 71. 2 ways. When 1,7…

Q: a) How many words (with or without any meaning) can be formed by arranging the letters in the word…

A: We can solve a maximum of first 3 subparts of the first question only as per company guidelines.