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Algebra

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11 Mar 2010 12:05:46 IST

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how many odd integers frm 1000 to 8000 hav distinct digits? please solve with steps

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how many odd integers frm 1000 to 8000 hav distinct digits? please solve with steps

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vijay kharya

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Joined: 27 Aug 2009

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11 Mar 2010 17:59:38 IST

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first fix any of 1,3,5,7,9 at the last places,or the last place can be filled in 5 ways.

first place can be filed in 6 ways(excluding the number,8,9 and 0)

second place in 8 ways.

and third in 7 ways.

total numbers=5*6*8*7=1680.

edison

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Joined: 19 Oct 2006

Posts: 7452

31 Jan 2011 17:24:51 IST

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Digit at units place will be either of these 1,3,5,7,9

Thus possible ways of filling unit place = 5

Possible ways of filling thousand's place = 6 [2,4,6 and remaining three possibilities of units place (as 9 cannot be there)]

Possible ways of filling Hundred's place = 8

Possible ways of filling Ten's place = 7

Thus total numbers will be = 5 * 6 * 8 * 7 = 1680

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