Find the number of ordered triples (a,b,c) of positive integers such that $30a + 50b + 70c \le 343.$ Find the number of ordered triples $(a,b,c)$ of positive integers such that $30a + 50b + 70c \le 343.$

My confusion is that while solving the question a, b,c can be zero or not
It is the question of combinations every variable can have the values from 1-4 except the variable c bcz 70*4=280 and 50+ 30=80 which exceeds 343.so variable c can have values from 1-3.No we will make combinations for each value of a,b,c and hence the answer will come and it will be 30
It is the question of combinations every variable can have the values from 1-4 except the variable c bcz 70*4=280 and 50+ 30=80 which exceeds 343.so variable c can have values from 1-3.No we will make combinations for each value of a,b,c and hence the answer will come and it will be 30