Question 12
A teacher gives candies to the students of class 6C in order. The first student receives $1$ candy and then $\frac1{21}$ of the candies remaining. The second receives $2$ candies and then $\frac1{21}$ of the remainder; the third receives $3$ candies and then $\frac1{21}$ of the remainder; and so on. The last student takes all the candies left, and this number equals that student’s position in the order. Each student receives the same total number of candies. How many students receive candies?
