Question 24
How many ordered triples of positive integers $(a,b,c)$ satisfy $$a+b+c+ab+bc+ca+abc=2022?$$
Answer format: enter one whole number without units. The source answer sheet uses four digits with leading zeros if needed; ordinary numeric entry is used here.
Answer format: enter one whole number without units. The source answer sheet uses four digits with leading zeros if needed; ordinary numeric entry is used here.