mathmath333
  • mathmath333
Counting problem
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.
jamiebookeater
  • jamiebookeater
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mathmath333
  • mathmath333
\(\large \color{black}{\begin{align} & \normalsize \text{In how many ways can a student choose a programme } \hspace{.33em}\\~\\ & \normalsize \text{of 5 courses if 9 courses are available and 2 specific } \hspace{.33em}\\~\\ & \normalsize \text{courses are compulsory for every student.} \hspace{.33em}\\~\\ \end{align}}\)
phi
  • phi
I assume order does not matter. we just want a list of 5 courses.
mathmath333
  • mathmath333
order doesn't matter.

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phi
  • phi
you have to choose the 2 required courses. that leaves 7 from which to pick 3 7 choose 3 right ?
mathmath333
  • mathmath333
yes
phi
  • phi
and that is 35
mathmath333
  • mathmath333
u did \(^{7}C_{3}\) ,but what about the remaining \(2\) courses
phi
  • phi
we could be pedantic and say 2C2 * 7C3
mathmath333
  • mathmath333
ok 2C2=1
mathmath333
  • mathmath333
answer is 35 ?
phi
  • phi
yes. Make sense?
mathmath333
  • mathmath333
yes thnks

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