mis·count

[v. mis-kount; n. mis-kount]
verb (used with object), verb (used without object)
1.
to count or calculate erroneously.
noun
2.
an erroneous counting; miscalculation.

Origin:
1350–1400; mis-1 + count1; replacing Middle English mesconten < Middle French mesconter

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Based on the Random House Dictionary, © Random House, Inc. 2013.
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World English Dictionary
miscount (ˌmɪsˈkaʊnt) [Click for IPA pronunciation guide]
 
vb
1.  to count or calculate incorrectly
 
n
2.  a false count or calculation

Collins English Dictionary - Complete & Unabridged 10th Edition
2009 © William Collins Sons & Co. Ltd. 1979, 1986 © HarperCollins
Publishers 1998, 2000, 2003, 2005, 2006, 2007, 2009
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00:10
Miscount is always a great word to know.
So is quincunx. Does it mean:
the offspring of a zebra and a donkey.
an arrangement of five objects, as trees, in a square or rectangle, one at each corner and one in the middle.
Example sentences
There are two ways of cheating in an election, one of which is to miscount the ballots and the other is to insert false ballots.
In the event of a miscount, a recount shall be conducted.
The former pharmacist explained that there was a miscount during inventory and in updating the inventory stock cards.
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