Sagnik Sarkar

CAT Preparation Community 10y ago

How many natural numbers having less than 4 digits can be formed such that sum is less than 10?

2

Praneeth Madhunanthu 10y ago

If the three digits are a, b and c.
$$a + b + c \leq 9$$ => a + b + c + k = 9, where k is a constant => $$^{12}C_3$$ cases = 220
But we need to remove the case where a, b and c are zero and k is 9 => 220 - 1 = 219
219 natural numbers have less than 4 digits and sum of digits less than 10.

Sagnik Sarkar 10y ago

Join CAT 2026 course by 5-Time CAT 100%iler

Crack CAT 2026 & Other Exams with Cracku!