This one is a fun question (a good practice of our understanding of factors)!

Analyze the given first before delving into the statements.

8*6*7*5*4*3*2*1 = a^n * RStatement (1): a^n = 64

8*6*7*5*4*3*2*1 = 64 * R64 could be 2^6 or 8^2.

In 8!, it contains at least 6 factors of 2. In 8!, it also contains 2 factors of 8. Thus, a could be 2 or 8.

Thus, INSUFFICIENT.

Statement (2): n = 6

Let us analyze 8! = 8*7*6*5*4*3*2*1. How many prime factors have at least 6 factors in 8!.

Let us start with a = 2. YES!

Let us then try a=3. NO!

We are certain that 2 has the most number of factors in 8! and it has at least 6. SUFFICIENT.

a = 2

AnsweR: B

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Impossible is nothing to God.