Recall that a 6-bit string is a bit strings of length 6, and a bit string of weight 3, say, is one with exactly three 1’s.
How many 6-bit strings are there?
How many 6-bit strings have weight 0?
How many 6-bit strings have weight 1?
How many 6-bit strings have weight 3?
How many 6-bit strings have weight 5?
How many 6-bit strings have weight 6?
How many 6-bit strings have weight 10?

You can earn partial credit on this problem.