1. Other
  2. Other
  3. question 4 let n 12 be an integer and let...

Question: question 4 let n 12 be an integer and let...

Question details

Question 4: Let n 12 be an integer and let , B2 Bn be a set of n beer bottles. Consider permutations of these bottles such that there are exactly 10 bottles between Bi and Bn. (B1 can be to the left or right of Bn) Prove that the number of such permutations is equal to n-2 10 10!-2 (n 11)! Question 5: Let n 2 3 be an integer. The Gn (or Group of n) is an international forum where the n leaders of the world meet to drink beer together. Two of these leaders are Donald Trump and Justin Trudeau. At the end of their meeting, the n leaders stand on a line and a group photo is taken . Determine the number of ways in which the n leaders can be arranged on a line, if Donald Trump and Justin Trudeau are standing next to each other Determine the number of ways in which the n leaders can be arranged on a line, if Donald Trump and Justin Trudeau are not standing next to each other. Determine the number of ways in which the n leaders can be arranged on a ine, if Donald Trump is to the left of Justin Trudeau. (Donald does not necessarily stand immediately to the left of Justin.)

Solution by an expert tutor
Blurred Solution
This question has been solved
Subscribe to see this solution