Question

find the value of 80C2​

Answer 1

Answer:

I hope this is helpful

Answer 2

$\displaystyle \sf{ {}^{80} C_2} = 3160$

Given :

The expression $\displaystyle \sf{ {}^{80} C_2}$

To find :

The value of the expression

Solution :

Step 1 of 2 :

Write down the given expression

The given expression is

$\displaystyle \sf{ {}^{80} C_2}$

Step 2 of 2 :

Find the value of the expression

$\displaystyle \sf{ {}^{80} C_2}$

$\displaystyle \sf{ = \frac{80!}{2!(80 - 2)!} }$

$\displaystyle \sf{ = \frac{80!}{2! \: 78!} }$

$\displaystyle \sf{ = \frac{80 \times 79 \times 78!}{2! \: 78!} }$

$\displaystyle \sf{ = \frac{80 \times 79 }{2! } }$

$\displaystyle \sf{ = \frac{80 \times 79 }{2 } }$

$\displaystyle \sf{ = 40 \times 79 }$

$\displaystyle \sf{ = 3160 }$

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