Six-digit integers will be written using each of the digits through exactly once per six-digit integer. how many different positive integers can be written such that all pairs of consecutive digits of each integer are relatively prime? (note: is relatively prime to all integers.)

Jim has just finished a painting. he is planning to go to a remote site on a bicycle, with his equipment in a backpack. what precaution should he take? a. he should pack the brushes in paper and carry them in his jacket. b. he should clean and dry the brushes and put them in a carry pouch. c. he should pack the brushes in a piece of cloth and put them in his backpack. d. he should wet the brushes and leave them exposed to air as he travels.