rebelprincezz8066 rebelprincezz8066
  • 09-06-2018
  • Mathematics
contestada

How many ways can 10 students be seated in a room with 13 chairs?

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gustanika
gustanika gustanika
  • 09-06-2018
Use combination to solve it
13C10 = [tex] \dfrac{13!}{10! \times (13-10)!} [/tex]
13C10 = [tex] \dfrac{13 \times 12 \times 11 \times 10!}{10! \times 3!} [/tex]
13C10 = [tex] \dfrac{13 \times 12 \times 11}{3!} [/tex]
13C10 = [tex] \dfrac{13 \times 12 \times 11}{3 \times 2 \times 1} [/tex]
13C10 = [tex] \dfrac{1716}{6} [/tex]
13C10 = 286
There are 286 ways
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