A five-digit number divisible by 
has to be formed using the numerals 
and 
without
repetition. The total number of ways in which this can be done is 
. Find 
.
Text Solution
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6
We know that a five-digit number is divisible by 
, if and only if sum of its digits 
is divisible
by 
, therefore we should not use 
or 
while forming the five-digit numbers. Now,
(i) In casewe do not use 
the five-digit number can be formed (from the digit 
) in 
ways.
(ii) In case we do not use 
, the five-digit number can be formed (from the digit 
) in 
ways.
The total number of such 
digit number
Cube root of 
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