Plz provide with python code! thanks!

Q3. Binomial coefficients (20 points) The binomial coefficient (nk) is an integer equal to PHY3115 Introduction to Computational Physics 2022/23 Semester B (nk)=k!(nk)!n!=12kn(n1)(n2)(nk+1) where k1, or (n0)=1 when k=0. It tells us the number of ways to choose k objects from a set of n objects when the order is not important. It appears very often in statistical physics. (a) Using this form for the binomial coefficient, write a Python user-defined function that calculates the binomial coefficient for given n and k. Make sure your function returns the answer in the form of an integer and gives the correct value of 1 for the case where k=0. (b) Using your function in (a) write a program to print out the first 20 lines of "Pascal's triangle." The Pascal's triangle is a triangular array of the binomial coefficients. The nth line of the Pascal's triangle contains n+1 numbers, which are coefficients (n0),(n1),(n2), and so on up to (nn). The first few lines of the Pascal's triangle are shown below. 11121133114641 (c) The probability that an unbiased coin, tossed n times, will come up heads k times is given by (nk)/2n. Write a program to calculate (i) the probability that a coin tossed 100 times comes up heads exactly 70 times, and (ii) the probability that it comes up heads 70 or more times