SOLUTION: n>k+s+2 . How many permutations has the set {1,2,3...n} ,with condition that in the middle of the numbers 1 and 2 ( and 2 and 1) are exactly k numbers and in the middle of the numb

Question 1099427: n>k+s+2 . How many permutations has the set {1,2,3...n} ,with condition that in the middle of the numbers 1 and 2 ( and 2 and 1) are exactly k numbers and in the middle of the numbers 2 and 3 (and 3 and 2 ) are exactly (k+1) numbers?
Answer by Edwin McCravy(20054) (Show Source): You can put this solution on YOUR website!

What does "the middle of the numbers 1 and 2" and 
"the middle of the numbers 2 and 3" mean?  I've only heard
"middle of numbers" referring to their arithmetic average or mean.
Surely you don't mean the average of 1 and 2, which is 1.5, and
the average of 2 and 3, which is 2.5.  That wouldn't make any sense.
Please tell us what you're talking about.  You can use the message 
form below.
Edwin

RELATED QUESTIONS
A permutation of the numbers (1,2,3,\dots,n) is a rearrangement of the numbers in which... (answered by CPhill)

I have the following problem: Let P(n, k) denote the number of permutations of k objects (answered by stanbon)

I need help with this mathematical induction to show that the given statement is true for (answered by jim_thompson5910)

Let n be a positive integer, k the number of prime numbers less than or equal to n, and... (answered by richard1234)

List all elements of the set A ∩ B, where A = {n ∈ N | n = 2^n − 1} and (answered by richard1234)

#1. Prove for all integers n, k, and r with n ≥ k ≥ r that nCk×kCr =... (answered by mccravyedwin,math_tutor2020)

Let {{{N = N[1] + N[2]}}} , and {{{1 <= k <= N[1]}}} and {{{1 <= k <= N[2]}}}. Prove... (answered by robertb)

Three lockers are numbered consecutively (n,n+1,n+2) in such a way that the sum of the... (answered by )

Three lockers are numbered consecutively (n,n+1,n+2) in such a way that the sum of the... (answered by ewatrrr)