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Question Number 152001 by otchereabdullai@gmail.com last updated on 25/Aug/21

Four members of a school′s first eleven  criket team are also in the first fourteen  rugby team. How many members play  for at least one of the two teams

$$\mathrm{Four}\:\mathrm{members}\:\mathrm{of}\:\mathrm{a}\:\mathrm{school}'\mathrm{s}\:\mathrm{first}\:\mathrm{eleven} \\ $$$$\mathrm{criket}\:\mathrm{team}\:\mathrm{are}\:\mathrm{also}\:\mathrm{in}\:\mathrm{the}\:\mathrm{first}\:\mathrm{fourteen} \\ $$$$\mathrm{rugby}\:\mathrm{team}.\:\mathrm{How}\:\mathrm{many}\:\mathrm{members}\:\mathrm{play} \\ $$$$\mathrm{for}\:\mathrm{at}\:\mathrm{least}\:\mathrm{one}\:\mathrm{of}\:\mathrm{the}\:\mathrm{two}\:\mathrm{teams} \\ $$

Answered by mr W last updated on 25/Aug/21

only playing criket: 11−4=7  only playing rugby: 14−4=10  playing both: 4  −−−−−−−−−−  sum: 21  i.e. 21 members play at least in one  team.

$${only}\:{playing}\:{criket}:\:\mathrm{11}−\mathrm{4}=\mathrm{7} \\ $$$${only}\:{playing}\:{rugby}:\:\mathrm{14}−\mathrm{4}=\mathrm{10} \\ $$$${playing}\:{both}:\:\mathrm{4} \\ $$$$−−−−−−−−−− \\ $$$${sum}:\:\mathrm{21} \\ $$$${i}.{e}.\:\mathrm{21}\:{members}\:{play}\:{at}\:{least}\:{in}\:{one} \\ $$$${team}.\: \\ $$

Commented by otchereabdullai@gmail.com last updated on 25/Aug/21

God bless you prof!

$$\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{prof}! \\ $$

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