Question

What is the value of (10)C(3)?



A.
30


B.
120


C.
720


D.
1000

Answer 1

ill give medel

Answer 2

\(10 \choose 3\)=\(\frac{10!}{3!\cdot(10-3)!}\)
10! = 10*9*8*7*6*5*4*3*2*1
3!=3*2*1

Answer 3

help me more plz im confused

Answer 4

\[\frac{10!}{3!\cdot(10-3)!}=\frac{10!}{3!\cdot7!}\]
\[=\frac{10\cdot9\cdot8\cdot\underbrace{7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1}}{(3\cdot2\cdot1)(7\cdot6\cdot5\cdot4\cdot3\cdot2\cdot1)}=\frac{10\cdot9\cdot8\cdot7!}{(3\cdot2\cdot1)7!}=\frac{10\cdot9\cdot8}{3\cdot2\cdot1}=\frac{720}{6}=120\]

Answer 5

ok thx