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Q.

The number of even numbers greater than 1000000 that can be formed using all the digits 1,2,0,2,4,2 and 4 is

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answer is 310.

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Detailed Solution

Case (i): Number of 7 digit numbers using 0, 1, 2, 2, 2, 4, 4 ending with 0= 6!3! 2!=60

 

0

Number of 7 digit number using 0, 1, 2, 2, 2, 4, 4 ending with 4= 6!3!-5!3!=100

 

 

 

 

 

 

4

 

 

                                             - 

 0

 

4

Number of 7 digit number using 0, 1, 2, 2, 2, 4, 4 ending with 2 =6!2! 2!-5!2! 2!

                                                                                                              =180-30=150

2

                                             -

0

 

2

Total number of permutations=60+100+150

                                                          =310

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