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By using the digits 0,1,2,3,4 and 5 (rep...

By using the digits 0,1,2,3,4 and 5 (repetitions not allowed) numbers are formed by using any number of digits. Find the total number of non-zero number that can be formed.

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Total Number of numbers
= Number of 1 digit number + No. of 2 digit numbers +…+ Number of 6 digit numbers
=`5+5xx5+5xx4xx5xx5xx4xx3+5xx5xx4xx3xx2`
`+5xx5xx4xx3xx2xx1`
=`5+25+100+300+600+600`
=`1630`
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