Question

Suppose a punched card has 80 columns and 12 rows. (a) If any number of holes...

Suppose a punched card has 80 columns and 12 rows.

(a) If any number of holes can be punched in the card, how many different cards can there be. If more convenient, you may give your answer in the form of an expression.

(b) If no column can have more than 2 holes, how many different cards can there be? Again, give your answer in the form of an expression if that is more convenient.

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