umber of dollars from $ 1$ to $ 9999$ inclusive. the contestant wins the prizes by correctly guessing the price of each prize in the order a, b, c. as a hint, the digits of the three prices are given. on a particular day, the digits given were $1, 1, 1, 1, 3, 3, 3$. find the total number of possible guesses for all three prizes consistent with the hint.