9. How many 6-digit numbers are there in all? solve step by step
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The smallest digit is 0 that cannot be used in the highest place value. So 1 which is the second smallest digit can be used in the highest place value.
The smallest six-digit number =100000
We know that the largest digit is 9 which can be used in any place
The largest six-digit number = 999999
IN terms of AP (Arithmetic progression)
a = 100000
Last term = 999999
Difference (d) = 1
The formula to calculate the nth term is
an = a + (n – 1)d
999999 = 100000 + (n – 1) × 1
899999 = n – 1
n = 900000
∴ there are 900,000 6-digit numbers in all.
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