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How do you find the binomial coefficient of 20C20?

1 Answer

Feb 28, 2017

$1$ $1$

Explanation:

$Reminder$ $color(orange)"Reminder"$

The binomial coefficient is.

$^{n} C_{r} = \frac{n!}{r! (n - r)!}$ $""^nC""_r=(n!)/(r!(n-r)!$

$\Rightarrow^{20} C_{20} = \frac{20!}{20! 0!}$ $rArr""^(20)C""_(20)=(20!)/(20!0!$

$NOTE 0! = 1$ $color(blue)"NOTE " 0! = 1$

$rArrcancel(20!)^1/(cancel(20!)^1xx1)=1$

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