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Community Discussion Question: P n C

Forum Index -> Algebra

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14 May 2008 17:49:08 IST

Subject: P n C

ashish_banga (975)

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Olaaa!! Perrrfect answer.

bad job dude!! I dont approve of this answer!

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the total no. of 5 digit numbers of different digits in which the digit in the middle is the largest

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14 May 2008 17:57:19 IST

Subject: Re:P n C

allamraju (3422)

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Olaaa!! Perrrfect answer.

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Is the ans 9c₅(4!)+9c₄(3)(3!).If it is correct,I will explain.

MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.

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14 May 2008 18:10:36 IST

Subject: P n C

ashish_banga (975)

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Olaaa!! Perrrfect answer.

bad job dude!! I dont approve of this answer!

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i dont know the real answer as the correct answer to the question given was NONE OF THESE

PLEASE GIVE YOUR APPROACH

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14 May 2008 18:15:00 IST

Subject: Re:P n C

Greatdreams (3220)

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Olaaa!! Perrrfect answer.

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$Nothing\;is \;mentioned \;whether\;repetition \;is\;allowed\;or\;not$

$If \;repetition\;is\;allowed\;answer \;will\;be\;different\;$

$In\;that\;case\;answer\;will\;be\;different\;$

$It \;should\;be ; 8.{9}^{3} + 7.{8}^{3}+6.{7}^{3} +.....+1.{2}^{3}$

$Otherwise \;answer \;should \;be\;the\;1\;given\;by\;allamraju\;$

$Edit : Thanks\; allamraju\;I \;didnt\;notice\;it..Sorry.$

$Your\;answer\;is\;correct.$

$Its\;clearly\;given\;different\;digits.\;Sorry\;for\;the\;inconvenience$

__________________________________________________________________________________________________________
From J.R.R. Tolkien's 'The Lord of the Rings':

All that is gold does not glitter
Not all who wander are lost
The old that is strong does not wither,
Deep roots are not reached by frost.
From ashes a fire shall be woken
From shadows a light shall spring
Renewed shall be blade that's broken
The crown less again shall be king.

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14 May 2008 18:26:51 IST

Subject: Re:P n C

allamraju (3422)

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Olaaa!! Perrrfect answer.

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There are two cases.One is the numbers without 0 and other is the numbers with 0.

WITHOUT 0:select 5 numbers from 1,2,....,9 in 9c₅ ways and place the largest no. among them in the middle.The remaining 4 numbers can be arranged in 4! ways.

WITH 0:Select remaining 4 numbers from 1,2,...,9 in 9c₄ ways and place the largest among them in the middle.Since 0 can't be placed in first position,the no. of ways of arranging 0 and remaining 3 no.s is not 4! but 3(3!).

Hence the ans is 9c₅(4!)+9c₄(3)(3!)=9c₅(3!)(7)

MAKING A MISTAKE IS HUMAN BUT REPEATING IT IS IDIOTIC.

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