Write a method that has the header public static int factorial(int n), computes the factorial of a given positive integer n (i.e., n! = 1.2.3. .(n - 1).n), and returns the computed factorial n!. Write another method that has the header public static int combination(int n, int k), and uses the factorial method described above to compute and return C(n, k) = ! !.!

Write a program that uses the combination method described above in a nested loop structure to compute and print the first 9 levels (rows) of the Pascals triangle. Note: On the right, the expected console output (above) and a visual analysis of the shape to be printed (below) are given. Hint: You can use printf similar to the example below to print each combination value as in the expected console output. System.out.printf("[%02d]", combinationValue);