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How many numbers less than 10000 are there whose sum of the digits is less than or equal to 5?


Options:
A .   125
B .   100
C .   126
D .   189
E .   3x2 + 17x – 32
Answer: Option C
:
C
Let the required number be represented as ABCD.

A+B+C+D5


Introducing a dummy variable E,


A+B+C+D+E=5


This is the arrangement of 5 zeroes and 4 ones (the number of plus signs). Answer is 9C4=126.



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