and in the decimal system. How many digits are there in these two numbers all together?
C.1379. Alex and Burt took their rabbits to a whole salesman to sell them to him at once. Each of them got as many dollars for each of their rabbits as many as the rabbits they each took to him. But, because their rabbits were so beautiful, they each got as many extra dollars for their rabbits from the salesman as many as the rabbits they each sold him. This way Alex received $202 more than Burt. How many rabbits did they each sell to the salesman?
C.1380. How many {a, b, c} sets are there containing three positive whole elements, where the product of a, b, and c is 2310?
C.1381. Let a, b, c, and d be different digits. Find their values so that the following sum has the least possible number of divisors, but the sum itself is the greatest possible.
C.1382. Fill in a 25×25 grid by using the numbers +1 and -1. Create the products of the 25 numbers in each column and in each row. Could the sum of these 50 numbers be:
a) 0
b) 10
c) 17?
C.1383. Is there such a triangle in which the heights are 1, 2, and 3 units long?
C.1384. You put a plain on each side of a regular, square-based pyramid. How many sections do these 5 planes divide the space?