Consider the following permutations in S,: 3 4 5 6 7 2 3 4 5 B- 3 2 75 1 6 !! 7 5 4 1 3 their product Ba is O 236547) O None of these O ( 236574) O (236457)

Q: Show that the permutations (12) and (12345) generate S5.

A: We have to show that the permutation 12 and 12345 generates S5. Suppose H=12,12345. We know that…

Q: O store associate at TRU wants to create a stu O 6 multichoose 29 O 29 to the power of 6 O 29! O…

A: Given, a bookstore associate at TRU wants to create a student bundle of 6 textbooks from among 29…

Q: Let A and (A, n2 1) be subsets of 2 An - A as n → 00 =P(A,) P(A). as n 0o,

A: The given question is related with probability. Given that A and An , n≥1 are subsets of Ω . We have…

Q: The permutations p= p and q in Se have the two-line symbols 1 2 3 4 5 6 4 621 5 3 and q= 1 2345 1 5…

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Q: The order of permutation (13)(27)(8)(1237)(648)(5) is 04 O 12 18 O 2 07 O None of them

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Q: in how many ways can four students be seated in a row of four seats?

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Q: Consider the following permutations in S,: (1 2 3 4 5 6 7) a = 6 2 7 1 4 5 3) their product aß is (1…

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Q: Write each as a single factorial. i) 90*8! ii) (n² + n)(n 1)! iii) (n +1)!/(n -1)!

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Q: Find the number of 4-permutations of a set of 9 objects. (select the correct answer) ○ 162 ○ 126 ○…

A: Step 1:To find the number of 4-permutations of a set of 9 objects, the following formula can be…

Q: Find all 6 permutations of (12)(345).

A: Find all permutations with 12 in the first pair of bracket : (12)(345) (12)(354) (12)(435) (12)(453)…

Q: Let a = (1 73)(5 49 2) and B = (2 3)(7 4)(5 18) be elements of S10. Then, a B is O (12974)(3 58) O…

A: Let α=1735492 and β=2374518 be elements of S10, then α2β-1 is

Q: How many different permutations each containing all letters of the word STATESMAN can be formed 2 -…

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Q: Which of the following is the correct expansion of a24+1? Lütfen birini seçin: O A. az + a5 + a7 +…

A: Given: The expansion is ∑i=15a2i+1. Calculation: The expansion of ∑i=15a2i+1 can be obtained as,…

Q: 2. even numbers are in their natural positions. Determine the number of permutations of {1, 2, 3, 4,…

A: Here we use combination rules. And set theoretic rules.

Q: 3. Suppose b > 1 is an integer. The proof of the existence of a base b representation of any integer…

A: (a)

Q: How many inversions are in the following permutation?: [2, 5, 1, 6, 3, 4]

A: Inversions of a permutation

Q: How many permutations of [n] are possible in which no even numbers and no odd numbers are adjacent?

A: Solution :-

Q: How many ways are there to arrange the letters m, n, o, p, and q such that neither m nor n is…

A: There are 5 letters in m, n, o, p, and q. We can arrange them in 5!= 120 ways   If m is followed…

Q: 10n+1 + 10" +1

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Q: Let denote the binomial coefficient (also written as C(n, r) or nCr). The sum of (C) + (4) +…

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Q: Consider Fib(3) = 2. What do you notice about every third Fibonacci number, i.e. Fib (6), Fib(9),…

A: We have to find the pattern between the numbers of a Fibonacci sequence.

Q: ular table. 0:A family has 3 boys and 2 girls. (a) Find the number of ways they can sit in a row;…

A: Family has 3 boys and 2 girls a) Number of ways they can sit in a row: _ _ _ _ _ There are 5 people,…

Q: Which of the following is the given permutation expressed as a product of disjoint cycles? * a =…

A: We have to solve through permutations group

Q: Suppose that in a certain state, all automobile license plates have four letters of the 26 English…

A: GivenAutomobile license plates have four letters and followed bt three digitsNo.of letters from A-Z…

Q: Given a positive integer n, how many strings of n letters from the English alphabet (26 letters)…

A: English alphabets vowels are A,E,I,O,U and rest 21 are consonants

Q: Number of circular permutations of different things taken all at a time is (n-1)!. a. True b. False…

A: Permutation is the measure that used to determine the arrangement of objects. There are different…

Q: justify each answer. (a) The number 1003 is prime because it is not divisible by 2, 3, 5, 7, 11. (b)…

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Q: 4. Count the permutations 111213141516 of 1, 2, 3, 4, 5, 6} where i • 12 #1 i3 #1 1,2,3 i5 5,6 i6 #…

A: count the permutations  i1,i2,i3 i4,i5,i6 of  1,2,3,4,5,6 where i1≠1,2,3 i2≠1 i3≠1 i5≠5,6 i6≠5,6

Q: 1. Which of the following permutations in S, is odd? (a) 53124 (b) 51423 (c) 51234 (d) 54231

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Q: If an 3(2)-1, what is S₂? P 9 O21 12 O24

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Q: We are looking for permutations of numbers 1,2,, 50, when 10 and 20 are next to each other (in any…

A: Permutation

Q: c. Let o, = (2 5 3 6) and o, = (1 4 6 5 7) be two permutations of S,. Find (0,02)¯1.

A: