Python help!!!
You need to write a few functions in Python.
Write two versions of a factorial function.
#This is the iterative version that uses a loop with an accumulator. Given n, return n!.
# ifac
def ifac(n):
...
#This is a recursive solution where:
#rfac(n) = 1, if n=0
# =n * rfac(n-1), otherwise.
# rfac
def rfac(n):
...
#Permutations - Implement the function perm(n,r) that returns the number of ways to arrange r items out of a set of n items.
# perm
def perm(n,r):
...
#Combinations - returns the number of ways to choose r items out of a set of n items where order does not matter.
# comb
def comb(n,r):
...
#Fibonacci Numbers that returns the nth Fibonacci number. The fibonacci sequence starts with 0,1. Each successive number is calculated by summing the previous two numbers. This is a recursive function.
# fib
def fib(n):
...
#Memoization - uses memoization to greatly speed up the calculation. Use a dictionary to memoize each value of fib(n) as they are computed.
# mfib
def mfib(n):
...
#Pascal's Triangle - construct pascal's triangle, each number at a given (row, column) locationcan be computed by summing the two numbers above it. The numbers on the edges are always 1. The function below computes the number at the given (rwo, col) by using the formula above. This is a recursive function. The base case is when (row, col) corresponds to one of the edges. Otherwise, it sums the two values above.
# pascal
def pascal(row, col):
...
#Memoization - make a new function called mpascal(row,col) that uses memoization to speed up the computation.
# mpascal
def mpascal(row, col):
...