Edit MetaData
9Â years, 7Â months ago
How many natural numbers having less than 4 digits can be formed such that sum is less than 10?
9Â years, 7Â months 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.
Quick, Easy and Effective Revision
By proceeding you agree to create your account
Free CAT Formulas PDF will be sent to your email address soon !!!