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Ask iit jee aieee pet cbse icse state board community Community Discussion Question: the total number of 5 digit number of different digits in which the digit in the middle is
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gokusuper (5)

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the total number of 5 digit number of different digits in which the digit in the middle is the largest is???





    

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ronty (511)

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the middle no. is atleast 4,(as all digits are distinct).


the remaining places filled by{0,1,2,3} in 4!-3!=18 ways.(1st place cant be 0)


1.if mid. no.=5,then the remaining 4 places have to be filled up by numbers from the set {0,1,2,3,4}.


therefore the no. of such numbers=5p4-4p3


2. middle position 6.rest places filled up from the set {0,1,2,3,4,5}


possibilities:6p4-5p3


3.middle no. 7


set of admissible no.s={0,1,2,3,4,5,6}


possibilities=7p4-6p3


4.middle no. 8


set of admissible no.s={1,2,3,4,5,6,7}


possibilities:8p4-7p3


5.middle position 9.


set of admissible no.s={0,1,2,3,4,5,6,7,8}


possibilities:9p4-8p3








 


 


 


 




 






 


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spideyunlimited (4254)

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Correct way, but u forgot to include numbers with 0 in them.

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- Gaurav Ragtah (spideyunlimited)
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thank you for pointing it out,sir.
in fact i revisited the page to correct it .

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Re:the total number of 5 digit number of different digits in which the digit in the middle


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Re:the total number of 5 digit number of different digits in which the digit in the middle


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