Question: Solve the following counting problems: How many 42-bit strings have exactly 16 ones? How many 23-bit strings have at most 3 ones? a. b. How

Solve the following counting problems: How many 42-bit strings have exactly

Solve the following counting problems: How many 42-bit strings have exactly 16 ones? How many 23-bit strings have at most 3 ones? a. b. How many ways are there to choose 32 out of 202 options if... repetition is allowed and order matters? repetition is forbidden and order matters? a. b. c. d. repetition is allowed and order doesn't matter? ...repetition is forbidden and order doesn't matter? Prove the following identity by algebraic manipulation

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