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# counting problem

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If ix s an element of the set {-2, -1, 1, 2} and y is an element of {1, 2, 3, 4}, how many distinct values of x^y are positive?

Mar 5, 2021

#1
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1.) x positive, then $$x^y$$ can be positive with y element of {1, 2, 3, 4}.

number of distinct value : $$2\times4=8$$

2.) x negative, y must be even number.

number of distinct value : $$2\times2=4$$

Total : 8+4 = 12.

Mar 5, 2021