Try This Combinatorics Problem

The above venn diagram shows the odd numbers and prime numbers from 1 to 10. How many odd, prime numbers are there?

2 1 4 3

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1 solution

Calvin Lin Staff
Jul 10, 2014

We are interested in the intersection of "Odd" and "Prime". This gives us the elements { 3 , 5 , 7 } \{3, 5, 7 \} . Hence, there are 3 such numbers.

What about number 1

Archana Indu - 6 years, 11 months ago

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The number 1 is not a prime number. As you can see in the venn diagram, it is placed in "odd", and not placed in "prime".

Calvin Lin Staff - 6 years, 11 months ago

Keep in mind that the number 1 1 is neither prime nor composite. This property is unique to it.

Prasun Biswas - 6 years, 6 months ago

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