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The number of youths participated in both canoeing and archery is equal to [tex]9.[/tex]
" Number is defined as the count representing for a given quantity."
Formula used,
[tex]n(A\cup B) = n(A) + n(B) -n(A\cap B)[/tex]
According to the question,
Given,
'A' represents the youth participating in canoeing
'B' represents the youth participating in archery
Total number of youths in a youth camp [tex]'n(A\cup B)' = 37[/tex]
Number of youth went for canoeing [tex]'n(A)' =24[/tex]
Number of youth went for archery [tex]'n(B)'= 22[/tex]
Substitute the value in the formula to get the number of youth participated in both '[tex]n(A\cap B)[/tex]' we get,
[tex]37 = 24 +22-n(A\cap B)\\\\\implies n(A\cap B) = 46-37\\\\\implies n(A\cap B) =9[/tex]
Hence, the number of youths participated in both canoeing and archery is equal to [tex]9.[/tex]
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