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How many seven-digit numbers are there when 0 and 8 cannot be the leading number? There are 7 그 such seven-digit numbers.
Question
How many seven-digit numbers are there when 0 and 8 cannot be the leading number?
There are
7 그 such seven-digit numbers.
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Mathematics
4 years
2021-08-10T02:28:15+00:00
2021-08-10T02:28:15+00:00 1 Answers
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Answers ( )
It is given that leading number cannot be 0 and 8 . So, choices are :
[ 1 , 2 , 3 , 4 , 5 , 6 , 7 , 9 ] i.e 8 choices.
Now, choices of other six digits are [ 0, 1 , 2 , 3 , 4 , 5 , 6 , 7 , 8, 9 ] i.e 10 choices.
So, number of seven digits with given constraint is :
N = 8×10×10×10×10×10×10
N = 8000000
Therefore, seven-digit numbers with given constrain are 8000000.
Hence, this is the required solution.