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If A and B are two sets containing 13 and 16 elements find minimum and maximum number of elements does AunionB
 

Asked by gmrchitragas2016 27th June 2017, 9:41 PM
Answered by Expert
Answer:
begin mathsize 16px style Given space that space straight A space has space 13 space elements space and space straight B space has space 16 space elements.
Now space for space straight A union straight B space to space have space minimum space number space of space elements comma space straight A space has space to space be space straight a space subset space of space straight B.
So comma space the space minimum space number space of space elements space in space straight A union straight B space is space 16.

For space straight A union straight B space to space have space maximum space number space of space elements comma space straight A space and space straight B space have space to space be space disjoint.
So comma space straight n left parenthesis straight A union straight B right parenthesis equals straight n left parenthesis straight A right parenthesis plus straight n left parenthesis straight B right parenthesis equals 13 plus 16 equals 29 end style
Answered by Expert 28th June 2017, 4:12 AM
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