Etymology
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mitzvah (n.)
Jewish rabbinical commandment, 1640s, from Hebrew mitzwah "commandment, precept," from base of tziwwah "he commanded," related to Arabic wasa "he bound, united."
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Bat Mitzvah 

1941, literally "daughter of command;" a Jewish girl who has reached age 12, the age of religious majority. Extended to the ceremony held on occasion of this.

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Bar Mitzvah 
1842, in Judaism, "male person who has completed his 13th year" and thus reached the age of religious responsibility; Hebrew, literally "son of command." As a name for the ceremony itself, by 1917.
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