Question 1066746
You need a Venn diagram which is 3 interlocking
circles: swimmers, joggers, and bikers
Realize there are 7 regions, and each has a different
meaning. The center one is all 3:  swimmers, joggers, and bikers.
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10 do all 3 activities
27 jog and swim. That leaves {{{ 27 - 10 = 17 }}}
that jog and swim, but don't do anything else
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(a)
32 jog but don't bike, so if you subtract the joggers and
swimmers, there are {{{ 32 - 17 = 15 }}} who ONLY jog
but don't swim and bike
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(b)
21 bike and swim. Subtract those who do all 3.
{{{ 21 - 10 = 11 }}} so, 11 do ONLY swimming and biking.
Now I can subtract {{{ 17 + 10 + 11 }}} from total swimmers 
{{{ 45 - 38 = 7 }}} who ONLY swim
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Likewise, subtract {{{ 15 + 17 + 10 }}} from all the joggers
{{{ 50 - 42 = 8 }}} who ONLY jog or bike
There is only 1 of the 7 regions left. It is those who bike ONLY.
Subtract {{{ 11 + 10 + 8 }}} from total of bikers
{{{ 40 - 29 = 11 }}} who ONLY bike
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Now add up all of the 7 regions and subtract from {{{ 150 }}}
{{{ 150 - 7 - 11 -15 -11 -17 -8 - 10 }}}
{{{ 150 - 79 = 71 }}}
There are 71 who don't swim, bike or jog
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Note there is no way to do this problem if you don't draw
a Venn diagram and understand what each of the 7 regions
means. Always start with the center one which is those who
do all 3 activities. Hope this helps.