What is the largest integer n such that the quantity
\frac{50!}{(5!)^{n}}
is an integer?
Note: Here k!=1 \times 2 \times 3 \times \cdots \times k is the product of all integers from 1 to k. For example, 4!=1 \times 2 \times 3 \times 4=24.
What is the largest integer n such that the quantity
is an integer?
Note: Here k!=1 \times 2 \times 3 \times \cdots \times k is the product of all integers from 1 to k. For example, 4!=1 \times 2 \times 3 \times 4=24.