Mathematics, 31.01.2020 15:51 dondre54
What is the value of the expression 10 c 6? a.210 b.720 c.5040 d.151,200
Answers: 2
(1)
which basically gives the number of combinations of 10 things taking 6 at a time.![^{10}C_{6}=\dfrac{10!}{6!(10-6)!}\\\\=\dfrac{10\times9\times8\times7\times6!}{6!4!}\\\\=\dfrac{10\times9\times8\times7}{4!}\ \ [\text{Cancel }6!\text{ from numerator and denominator}]\\\\=\dfrac{10\times9\times8\times7}{4\times3\times2\times1}\\\\=210](/tpl/images/0490/3012/a9084.png)
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What is the value of the expression 10 c 6? a.210 b.720 c.5040 d.151,200...
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