Question

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

A
247
B
252
C
5
D
248

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

Suggest Corrections

0

Similar questions
View More

People also searched for
View More