Solution to There are 21 pupils in a grade 7 class. The class teacher has to choose … - Sikademy
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Archangel Macsika

There are 21 pupils in a grade 7 class. The class teacher has to choose eight of the pupils for a group that will visit Germany in three months time. In how many different ways can the teacher select pupils for the group ?

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n\raisebox{0.25em}{$C$}r=\frac{n!}{r!(n-r)!}


21\raisebox{0.25em}{$C$}8=\frac{21!}{8!(21-8)!}


21\raisebox{0.25em}{$C$}8=\frac{21!}{8!(13)!}=203490


There are total 203,490 ways in which the teacher can select pupils for the group.

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Question ID: mtid-5-stid-8-sqid-544-qpid-429