Being N { 0, 8, 16a)culate the order of 10 Nin the factor group (Z24, +) /!N

Q: ) (30 pts) Use induction to show the – 2" +1 _2"

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Q: Question 9 (Mandatory) (3.5 points) Saved (1) How many elements in Z₁13 and (2) what are possible…

A: Step 1:Step 2: Step 3: Step 4:

Q: The permutations p = (3 5 4), q= (1 5 2 3) and r = (1 5 2) are elements of S5. pal, m. (a) Find each…

A: (a) To find each of the given permutations in cycle form, we will apply the permutations…

Q: How many five card hands at most three jacks are possible when dealt from a standard deck of 52…

A: No. of Jack Cards = 4 No. of non-jack cards = 52-4 = 48 No. of cards in hand  = 5

Q: Consider your eight-digit student ID as an array of single-digit integers. For example, if your…

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Q: 25, 3, 3.75, ... sive:

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Q: ) Ifa group of 9 kids have won a total of 100 trophies, then at least one of the 9 kids has won at…

A:

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: 10!6!10!6!   i) 10 x 9 x 8 x 7 ii) 5,040   Group of answer choices: Choose answer and show your…

A: 10!6!=? Since 10! = 10×9×8×7×6×5×4×3×2×1 and 6! = 6×5×4×3×2×1 So,…

Q: a) What is the maximum possible order of an element in S,? Give an example of one of these elements.…

A: Given, Group S7 any element can be written in cycle notation i.e. in disjoint cycles as example…

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

A: (a)

Q: QUESTION 15 a) How many elements of order 2 are there in S5? b) How many elements of order 2 are…

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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: Coding theory

A: Here's why: The notation (n,2,n) refers to a code with:n: Length of each codeword (n bits)2: Number…