6. Using Lex-Order, (a) Find the next twelve 7-permutations on {1..9} after (8, 1, 3, 9, 7, 6, 4). (b) Find the next 7 full permutations on {1..12} after (8, 11, 10, 1, 12, 5, 3, 9, 7, 6, 4, 2).

Atest consists of 10 multiple choice questions, each with 5 possible answers, one of which is correct. to pass the test a student must get 60% or better on the test. if a student randomly guesses, what is the probability that the student will pass the test?