Six fair six-sided dice are rolled. An outcome is an ordered sequence of 6 numbers between 1 and 6. For example, the sequence 1-1-1-1-4-3 is different from the sequence 4-1-3-1-1-1.a) How many outcomes are possible?b) What is the probability that a roll results in 6 different numbers?c) What is the probability that a roll results in 6 of the same number?a) The number of possible outcomes is(Simplify your answer.)b) The probability that a roll results in 6 different numbers is(Type an integer or decimal rounded to four decimal places as needed.)c) The probability that a roll results in 6 of the same number is(Type an integer or decimal rounded to seven decimal places as needed.)-4