[ Evenness and Oddness ]
How do you think - even or odd - will be the product: a) of an even number of even numbers; b) of an even number of odd numbers; c) of an odd number of even numbers; d) of an odd number of odd numbers?
Problem 578
Official solution
If in a product no multiplier is an even number (i.e., all numbers are odd), the product will be odd. Otherwise (i.e., if at least one number is even), the product will be even.
## Answer
a) even; b) odd; c) even; d) odd.