Question
How many even five-digit numbers can be formed using the
digits 0 to 9 if no digit is repeated?Solution
Given number-0,1,2,3….9. Total digit =10 To make a five-digit odd number, there must be 0,2,34,6 or 8 at the unit’s place. 
Total number=9Ă—8Ă—7Ă—6Ă—5=15120 This also includes the number with 0 in the first position, thus we also have a 4-digit number. 
Thus, the total number of 4-digit numbers=8Ă—7Ă—6Ă—Ă—4=1344 Total number=15120-1344=13776.
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