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Question: Answered & Verified by Expert
Let $n=1 !+4 !+7 !+\ldots+400 !$. Then ten's digit of $n$ is
MathematicsBinomial TheoremTS EAMCETTS EAMCET 2010
Options:
  • A 1
  • B 6
  • C 2
  • D 7
Solution:
1333 Upvotes Verified Answer
The correct answer is: 6
Given, $n=1 !+4 !+7 !+\ldots+400 !$ $1 !=1,4 !=24,7 !=5040,10 !=3628800$ and further the terms has last two digits $=00$
So,
$1 !+4 !+7 !+\ldots+400 !=\ldots \ldots 65$
Here ten digit is 6 .
Hence, 6 is the answer.

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