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Question

In how many ways can you select 2 numbers till 50, which will have their product as a multiple of 3?

A
561
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B
664
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C
652
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D
284
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E
585
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Solution

The correct option is B 664

To get a two factor product out of 50 numbers, we can choose the two numbers in 50C2 ways, out of

which we need to negate pairs wherein both numbers are not multiples of 3.

Non multiples of 3 till 50 = 50 – 50/3 = 34.

50C2- 34C2 = 664


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