Using a program language of your choice, write a simple program to exhaustively

Question

Using a program language of your choice, write a simple program to exhaustively list (generate) all binary strings of length N. Your program should read N > 5 as input and then list all binary strings of length N. Use your program to answer the following questions by testing each of your generated binary strings.
(a) How many binary strings of length N contain the substring 1010 ? (b) How many binary strings of length N contain at least four 0s ? (c) How many 5-element subsets of {1,2,3,...,N} contain both 1 and 2?

Explanation / Answer

import itertools

def printBinaryStrng(n):
binaries = ["".join(seq) for seq in itertools.product("01", repeat=n)]
count_substr = 0
count_40 = 0
print("Binary strings are: ")
for b in binaries:
print(b)
if "1010" in b:
count_substr += 1
if b.count('0') >= 4:
count_40 += 1
  
print("Count of binary number with substring '1010' is " + str(count_substr))
print("Count of binary number with atleast 4 0's is " + str(count_40))

  
printBinaryStrng(7)

# link to code: https://paste.ee/p/mJTLk

Sampe run:

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