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
2026-04-08 10:48:26.1775645306
Find the number of ordered triples (a,b,c) of positive integers such that $30a + 50b + 70c \le 343.$
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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