The total number of 8-digit numbers that contain only the 7-digits 2, 4, 5, 6, 7, 8, and 9 is
141120
132110
141110
131120
Given that,
There are 8-digit numbers that contain only the 7-digits 2, 4, 5, 6, 7, 8, and 9.
Choosing all the 7-digits is,
Now, in order to make the number 7-digits, we must choose one more digit from the 2, 4, 5, 6, 7, 8, and 9.
This is done in
The total number of permutations given by
Thus, the required number of ways is,
Therefore, the total number of ways is 141120.
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