Matlab Code!!

In a group of n randomly chosen people, what is the prob- ability that everyone has a different birthday?

(a) Find this probability by hand.

(b) Let n = 30. Write a script that generates a group of n people randomly and determines if there are any matches.

c) Modify the script above to run a number of simulations and numerically calculate the sought-after probability. Try 1000, 10000, and 100000 simulations.