qanda-logo
apple logogoogle play logo

Calculator search results

Formula
Permutations and combinations
Answer
circle-check-icon
expand-arrow-icon
$\,_{ 11 }C_{ 9 }$
$55$
Find a combination
$\,_{ \color{#FF6800}{ 11 } }C_{ \color{#FF6800}{ 9 } }$
$ $ Organize the equation using $ \,_{n}C_{r} = \dfrac{\,_{n}P_{r}}{r!} = \dfrac{n!}{\left(n-r\right)!r!}$
$\color{#FF6800}{ \dfrac { { 11 }! } { { \left ( 11 - 9 \right ) }! { 9 }! } }$
$\dfrac { { 11 }! } { { \left ( \color{#FF6800}{ 11 } \color{#FF6800}{ - } \color{#FF6800}{ 9 } \right ) }! { 9 }! }$
$ $ Subtract $ 9 $ from $ 11$
$\dfrac { { 11 }! } { { \color{#FF6800}{ 2 } }! { 9 }! }$
$\color{#FF6800}{ \dfrac { { 11 }! } { { 2 }! { 9 }! } }$
$ $ Simplify the formula containing the factorial $ $
$\color{#FF6800}{ \dfrac { 11 \times 10 } { 2 \times 1 } }$
$\dfrac { \color{#FF6800}{ 11 } \color{#FF6800}{ \times } \color{#FF6800}{ 10 } } { 2 \times 1 }$
$ $ Calculate the value $ $
$\dfrac { \color{#FF6800}{ 110 } } { 2 \times 1 }$
$\dfrac { 110 } { \color{#FF6800}{ 2 } \color{#FF6800}{ \times } \color{#FF6800}{ 1 } }$
$ $ Calculate the value $ $
$\dfrac { 110 } { \color{#FF6800}{ 2 } }$
$\color{#FF6800}{ \dfrac { 110 } { 2 } }$
$ $ Reduce the fraction to the lowest term $ $
$\color{#FF6800}{ 55 }$
Solution search results
search-thumbnail-$ \,_{11}C_{3} $ $ \,_{7}C_{4} $
10th-13th grade
Geometry
search-thumbnail-If $n$ $n_{C_{9} \,_{=}C_{8} }$ find $nC\right)7$
10th-13th grade
Trigonometry
Have you found the solution you wanted?
Try again
Try more features at Qanda!
Search by problem image
Ask 1:1 question to TOP class teachers
AI recommend problems and video lecture
apple logogoogle play logo