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Ask iit jee aieee pet cbse icse state board experts Expert Question: combinations
Forum Index -> Algebra like the article? email it to a friend.  
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[Post New]25 Jan 2007 20:02:33 IST
    Subject: combinations
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atalakumar (0)

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what is the last three digits of 3 to the power 100. how to solve it
    
[Post New]28 Jan 2007 19:19:44 IST
    Subject: Re:combinations
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krishna.gopal (2154)

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3100=950=(10-1)50
150-50C110+50C2102+terms containing higher powers of ten
So last three digits of 3100 will be same as last three digits of 150-50C110+50C2102
150-50C110+50C2102 = 122001
So last three digits of 3100=001
Krishna Gopal Singh
B.Tech Chemical Engg
IIT Delhi 2002
Currently doing PhD from IIT Delhi
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