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Question

Prove that: 19!+110!+111!=12211!

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Solution

L.H.S
19!+110!+111!

=19!+110×9!+111×10×9!

=19![(11×10)+11+111×10]

=(11×10)+11+111×10×9!

=110+11+111!

=12211! = RHS
Hence, 19!+110!+111!=12211!


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