IN JAVA!!!!

Repeat all of the instructions from Exercise #1 (see them at bottom), except compute the number of combinations, given integers n and r. Name your new method combination( ).

Combination Formula:

C(n,r)= n!/ r!(n-r)!

Exercise 1:

Write a method named permutation( ) that calculates the number of permutations for given n and r values.

Permutation formula:

P(n,r)= n!/(n-r)!

Note:

n! = n * (n-1) * (n-2) * * 1

0! = 1

Tip: It will be helpful to create a separate factorial( ) method and call this method within your

permutation( ) method. (Only call factorial( ) in permutation( ). Do not call factorial( ) in main.)

Test your implementation on:

n = 5 n = 5 n = 5 n = 5

r = 0 r = 2 r = 4 r = 5