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Question

How many numbers of six digits can be formed from the digits 0, 1, 3, 5, 7 and 9 when no digit is repeated? How many of them are divisible by 10?


Solution

Total number of digits = 6 
We cannot have 0 at the first digit of the required six-digit numbers. 
The digits cannot repeat in the six digits number.
total number of six digit number are = 5×5×4×3×2×1=600
Now, the six digit number can be divided by 10, if its last digit is 0 
Total numbers which are divisible by 10 
= 5×3×2×1×1=120


Mathematics
RD Sharma
Standard XI

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