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# If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can hav

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Math Expert
Joined: 02 Sep 2009
Posts: 51215
If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can hav  [#permalink]

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03 Jul 2018, 00:47
00:00

Difficulty:

45% (medium)

Question Stats:

53% (00:51) correct 47% (00:40) wrong based on 95 sessions

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If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can have how many different possible values?

A. Three
B. Four
C. Five
D. Six
E. Seven

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Re: If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can hav  [#permalink]

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03 Jul 2018, 01:27
Bunuel wrote:
If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can have how many different possible values?

A. Three
B. Four
C. Five
D. Six
E. Seven

Since x can take 3 values and y can take 2 values, the product xy can take
$$C_1^3*C_1^2 = 3*2 = 6$$ values. Both 1*4 and 2*2 have the same product(4)

Therefore, there are 6 - 1 = 5(Option C) different possible values for the product xy.
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Re: If x is 1, 2, or 3 and y is either 2 or 4, then the product xy can hav &nbs [#permalink] 03 Jul 2018, 01:27
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