Explore a world of knowledge and get your questions answered on IDNLearn.com. Our community is here to provide the comprehensive and accurate answers you need to make informed decisions.
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]
Learn more about numbers here
https://brainly.com/question/17429689
#SPJ2