6) There are 5 boxes. In each box there are 5 tickets labelledwith the numbers 1,2,3,4,5. An experiment is to draw one number atrandom from each of the ?ve boxes. Calculate the followingprobabilities 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)