How many 7 -digit numbers are there in all ? (2024)

Solution

$$\textbf{Step-1: Write the least & greatest number of seven digits and simplify}$$

$$\Rightarrow$$ $$\text{The smallest}$$ $$7-$$ $$\text{digit number}$$ $$= 1000000.$$

$$\Rightarrow$$ $$\text{The greatest}$$ $$7-$$ $$\text{digit number}$$ $$= 9999999.$$

$$\Rightarrow$$ $$\text{Total}$$ $$4-$$ $$\text{digit numbers}$$ $$=(9999999 - 1000000)+1$$

$$\Rightarrow$$ $$89,99,999+1$$

$$=90,00,000$$

$$\text{So, we say that we have}$$ $$90,00,000$$ $$\text{seven-digit numbers.}$$

$$\textbf{Hence, answer is 90,00,000}$$

How many 7 -digit numbers are there in all ? (2024)
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