Using the digits 2 through 7, find the number of different 4-digit numbers such that: a. Digits cannot be repeated and must be written in increasing order. (Increasing means strictly increasing. For example, the digits of 134 are increasing, but the digits of 133 are not.) b. Digits can be repeated and must be written in non-decreasing order. (Now the digits don't need to be strictly increasing; 133 has digits non-decreasing.)

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