Question 153
2. AWARD NUMBER - A 6-digit number is "awarded" if the sum of its first 3 digits is equal to the sum of its last 3 digits. For example $342531$ is awarded because $3+4+2=5+3+1$.
a. What is the largest and lowest awarded number, with 6 different digits?
b. Shows that the sum of all awarded numbers, with 6 different digits, is divisible by $13$.
a. What is the largest and lowest awarded number, with 6 different digits?
b. Shows that the sum of all awarded numbers, with 6 different digits, is divisible by $13$.