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Q.

The number of three-digit even numbers, formed by the digits 0,1,3,4,6,7 if the repetition of digits is not allowed, is 

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answer is 52.

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Detailed Solution

Case i :   3 digit even number formed by {0, 1, 3, 4, 6, 7} ending with 0 = 5P2=20 

  

0

Case ii :  3 digit even number formed by {0, 1, 3, 4, 6, 7} ending with 4 = 5P2-4P1=16 

  

4

                                           -

0

 

4

Case iii : 3 digit even number formed by {0, 1, 3, 4, 6, 7} ending with 6 = 5P2-4P1=16 

  

6

                                          -

0

 

6

Total no of 3 digit even numbers formed using {0, 1, 3, 4, 6, 7}=20+16+16=52

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