A). For how many three digit numbers (100 to 999) is the sum of the digits even? (For example, 343 has an even sum of digits: 3 + 4 + 3 = 10 which is even.) Find the answer and explain why it is correct in at least two different ways. B). The number 735000 factors as 23 3 54 72. How many divisors does our answer using the multiplicative  principle.

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