6) There are 5 boxes. In each box there are 5 tickets labelled
with the numbers 1,2,3,4,5. An experiment is to draw one number at
random from each of the five boxes. Calculate the following
probabilities using a calculator, but show some work.
a) P(no two numbers alike).
b) P(exactly two alike). (example 11234)
c) P(exactly three alike). (example 11123)
d) P(exactly four alike). (example 11112)
e) P(two pair). (example 11223)
f) P(the number 4 comes up at least once)