AlbaG35054 AlbaG35054
  • 25-10-2022
  • Mathematics
contestada

Hello,Can you help me with question 1: Evaluate the given binomial coefficient

HelloCan you help me with question 1 Evaluate the given binomial coefficient class=

Respuesta :

AngeeT65357 AngeeT65357
  • 25-10-2022

Solution:

Given the expression below

[tex](^8_3)[/tex]

Applying the combination formula below

[tex]^nC_r=\frac{n!}{r!(n-1)!}[/tex]

The binomial coefficient will be

[tex]=\frac{8!}{3!(8-3)!}=\frac{8!}{3!5!}=\frac{8\times7\times6\times5\times4\times3\times2\times1}{3\times2\times1\times5\times4\times3\times2\times1}=56[/tex]

Hence, the answer is 56

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