Download App

Binomial Theorem — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsBinomial Theorem1 Mark
MCQ
If ${^\text{20}}\text{C}_{\text{r}}={^\text{20}}\text{C}_{\text{r-10}}$ is then ${^\text{18}}\text{C}_{\text{r}}$ equal to :
  • A
    $4896$
  • ✓
    $816$
  • C
    $1632$
  • D
    None of these.
✓

Answer

Correct option: B.
$816$
$\text{r}+\text{r}-10=20$
$\Rightarrow 2\text{r}-10=20$
$\Rightarrow 2\text{r}=30$
$\Rightarrow \text{r}=15$
Now,
${^\text{18}}\text{C}_{\text{r}}={^\text{18}}\text{C}_{\text{15}}$
$\therefore\ {^\text{18}}\text{C}_{\text{15}}={^\text{18}}\text{C}_{\text{3}}$
$\therefore\ {^\text{18}}\text{C}_{\text{3}}=\frac{18}{3}\times\frac{17}{2}\times16$
$=816$

Need a full question paper?

Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.

Start Generating Free

Explore more

More "MCQ" from Binomial Theorem→Binomial Theorem — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

The value of $\cos 57^{\circ}+\sin 27^{\circ}$ is equal to
→
If $\sin \theta+\sin 2 \theta+\sin 3 \theta=\sin \alpha$ and $\cos \theta+\cos 2 \theta+\cos 3 \theta=\cos \alpha$, then $\theta$ is equal to
→
If $f(x)=\left\{\begin{array}{ll}e^{\frac{1}{x}}, & \text { when } x \neq 0 \\ 1, & \text { when } x=0\end{array}\right.$, then
→
If $f ( x )=\lfloor x\rfloor$ for $x \in(-1,2)$, then $f$ is discontinuous at
→
If $\alpha,\beta$ are the roots of the equation $x^2− p(x + 1) − c = 0$, then $(\alpha+1)(\beta+1)=$
→
If $\frac{5(-8+6 i)}{(1+i)^2}=a+i b$, then $(a, b)$ equals
→
The distance between the parallel line y = x + a y = x + b is
→
If $|\text{x}+3|\geq10,$ then :
→
Find the equation of the line through the intersection of $3 x+4 y-7=0$ and $x=y-2$, and whose slope is 5 .
→
The value of $\cos 20^{\circ} \cos 40^{\circ} \cos 60^{\circ} \cos 80^{\circ}$ is equal to
→