3. The digits 4, 5, 6, and 7 are to be arranged in three digit number. How many possible numbers can be formed if: a. repetition is not allowed? b. repetition is allowed? foronoo of a circle if they are egually distributed and connect

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A: See the detailed solution below.

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A: The number of permutations of n elements taken r at a time is given by nPr where nPr is given by,

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A: Given: Number of books = 12 Number of children = 4

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A: We can find answer to both the question as below

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A: Solution To make the 3 digit number we will use permutation.

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A: Two possibilities=>( i )Mutual Friend                                  (ii)stranger  (let K be…

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A: HERE USE COMBINATION FOR FINDING POSSIBLE NO OF PREFIX WITH GIVEN CONSTRAINTS IN EACH PARTS

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A: The given questions are related to permutations. The formula is given by nPr=n!(n-r)!

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A: This question has two parts. This is related to permutation. The solution is given below.

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A: Given information: As per guidelines we will only answer the first three subparts, please repost…

Q: Are s and I uncore Luted ? Are S and I indepen yor

A: X -1 0 1 P(X=x) 0.3 0.4 0.3 E(X) =∑xXP(X=x)E(X) =-0.3+0+0.3 = 0E(X2)=0.3+0+0.3 =0.6Var(X)…

Q: How many ways can a group of n people be arranged in a circle that contains k equally distributed…

A: Number of ways of selecting k people from n people = Ckn = n!k!*(n-k)!

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Q: i How many three-digit phone prefixes that are used to represent a particular geographic area (such…

A: here use combination and permutation

Q: 33, A Sphene has the iengen of t

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Q: O Question 5 B = {n|n EN and 317 Next Question

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Q: (a) How many even numbers less than 500 can be formed using the digits 1, 2, 3, 4 and 5? Each digit…

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