Question

induction question

Answer 1

\[\left(\begin{matrix}15 \\ 8\end{matrix}\right)\]

Answer 2

determine the value

Answer 3

\[\frac{15!}{8!(15-8)!}=\frac{15 \cdot 14 \cdot 13 \ \cdot 12 \cdot 11 \cdot 10 \cdot 9 \cdot 8!}{8! \cdot 7!}=\frac{15 \cdot 14 \cdot 13 \cdot 12 \cdot 11 \cdot 10 \cdot 9}{7!}\]

Answer 4

ty

Answer 5

no problem we can reduce the fraction more

Answer 6

so just multiply the top?

Answer 7

\[\frac{5 \cdot 3 \cdot 2 \cdot 7 \cdot 13 \cdot 4 \cdot 3 \cdot 11 \cdot 10 \cdot 9}{7 \cdot 6 \cdot 5 \cdot 4 \cdot 3 \cdot 2}\]
\[=\frac{13 \cdot 3 \cdot 11 \cdot 10 \cdot 9}{6}=\frac{13 \cdot 11 \cdot 10 \cdot 9}{2}\]

Answer 8

yes now you just multiply the top

Answer 9

so how exactly do u break up 7!

Answer 10

14=2(7)
there is 7 on bottom
so the 7's cancel

Answer 11

so u went from 7! to 7 . 6 . 5 . 4 . 3 . 2

Answer 12

\[a!=a \cdot (a-1) \cdot (a-2) \cdot \cdot \cdot 3 \cdot 2 \cdot 1\]

Answer 13

kk tyvm

Answer 14

so the answer would be 6435

Answer 15

and also we could have divided top by 2 and bottom by 2
because 10=2(5) right?

Answer 16

\[13 \cdot 11 \cdot 5 \cdot 9\]

Answer 17

ok

Answer 18

yes 6435 is correct

Answer 19

ty :)

Answer 20

np