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Question

The number of products that can be formed with $$8$$ prime numbers is:


A
247
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B
252
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C
5
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D
248
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Solution

The correct option is A $$247$$
A product is defined as multiplication between two or more numbers.
Thus, we need to pick up $$2$$ numbers, $$3$$ numbers, $$4$$ numbers and so on from the $$8$$ prime numbers till the product of all 8 of those.
$$\therefore$$ The number of ways become $$^8C_2 + ^8C_3 + ^8C_4 + ^8C_5 + ^8C_6 + ^8C_7 + ^8C_8 = 2^8 - ^8C_0 - ^8C_1$$
$$= 2^8 - 1 - 8$$
$$= 247$$

Mathematics

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