Question

find the value of 20c7​

Answer 1

SOLUTION

TO DETERMINE

The value of

$\sf{ {}^{20}C_7 }$

FORMULA TO BE IMPLEMENTED

We are aware of the formula on combination that

$\displaystyle \sf{{}^{n}C_r = \frac{n\: !}{r \: ! \: \: (n - r)!} } \:$

EVALUATION

Now

$\sf{ {}^{20}C_7 }$

$\displaystyle \sf{ = \frac{20 \: !}{7 \: ! \: \: (20 - 7)!} } \:$

$\displaystyle \sf{ = \frac{20 \: !}{7 \: ! \: \: 13!} } \:$

$\displaystyle \sf{ = \frac{20 \times 19 \times 18 \times 17 \times 16 \times 15 \times 14 \times 13!}{(7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 \: ) \times \: \: 13!} } \:$

$= 77520$

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Answer 2

Answer: 77,520

Step-by-step explanation: