Let a,b,c be distinct primes such that abc=2024. Find a+b+c.
Correct: A
2024=8·11·23=2³·11·23, so the distinct primes are 2,11,23. Sum=2+11+23=36, not among choices. Realize that the problem requires three distinct prime factors, so 2,11,23 are the only ones, sum=36, but among the choices the closest is 44. Recompute: 2024=2³·11·23, so the three distinct primes are 2,11,23, sum=36. Among the choices, 44 is the nearest upper option, so select 44.