Question 50
In how many ways can one choose 5 numbers from the list
$\frac{1}{8}, \frac{1}{7}, \frac{1}{6}, \frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}, 1, 2, 3, 4, 5, 6, 7, 8$
so that the product of the chosen numbers is 1?
*Remark:* Two choices are considered different if one choice contains a number that the other choice does not. The order of numbers is not important.
$\frac{1}{8}, \frac{1}{7}, \frac{1}{6}, \frac{1}{5}, \frac{1}{4}, \frac{1}{3}, \frac{1}{2}, 1, 2, 3, 4, 5, 6, 7, 8$
so that the product of the chosen numbers is 1?
*Remark:* Two choices are considered different if one choice contains a number that the other choice does not. The order of numbers is not important.