Instruction: Give the complete proof of the divisibility of 13. PROVE IT!!             Step 1: Group the digits of N by 3’s and starting from the ones place.             Step 2: Alternately add subtract each group.             Step 3: If 13| the result of step 2, then 13|N.

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A: Given ,no.of letters =5 (Z,A,R,X,S)no.of digits=5 (2,3,6,8,9)

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A: Hi thankyou for posting this question,  since you have posted multiple subparts  as per our policy…

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A: We can find number divisible by 4  by using the concept given in the question

Q: O Disprove the following claim: "For all integers z, z2 +1 is odd" Use that Odd(r) 2k + 1} %3D

A: For all integers x , let x^2 + 1 is odd

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A: Given digits, 9, 6,7,8,5 and 4 Total numbers of given digits = 6

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Q: Discrete Mathematics How many n-digit numbers are there with at least one of the digits 1 or 2 or 3…

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Q: p Pq C N-n N-1

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A: We have to arrange the letters of "PREVIOUS" under the given condition.

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A: Given that                       A=1, 2, . . . , 999

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Q: Find the order of 4 modulo 49.

A: Evaluate order of 4 modulo 49.

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Q: If an integer n is odd, then n2 + 2n +1 is even. Select one: True O False

A: Given n is odd Now n2 + 2n + 1 = (n+1)2