How many numbers greater than a billion but less than 10 10 can be formed such that the sum of the digits is equal to 3?
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Answer:
The answer is zero as no numbers can be formed which follow all the given conditions.
Step-by-step explanation:
We know that: 1 billion > 1010
Thus, if we assume a required number, 'x',
According to question: x < 1010
and also: x > 1,000,000,000
but we know that: 1,000,000,000 > 1010
So, we can say:
x > 1010
Thus, it leads to a contradiction as x can either be greater than or less than 1010 and not be both at a time. Thus, our assumption is wrong and the required number does not exist.
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