Download App

Permutations — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations2 Marks
Question
Evaluate the following:
$^8\text{P}_3$
✓

Answer

We have,
$^8\text{P}_3 = \frac{8!}{(8-3)!}\Big[\because\ ^\text{n}\text{P}_\text{r}=\frac{\text{n!}}{(\text{n}-\text{r})!}\Big]$
$= \frac{8\times7\times6\times5}{5!}$
$= 336$
Hence, $^8\text{P}_3= 336$

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 "Solve the Following Question.(2 Marks)" from Permutations→Permutations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Prove that:
$\sin^2\frac{2\pi}{5}=\sin^2\frac{\pi}{3}=\frac{\sqrt{5}-1}{8}$
→
Find:
$\lim\limits_{\text{x}\rightarrow\frac{5}{2}}[\text{x}]$
→
In a simultanepous throw of a pair of dice, find the probability of getting,Either 9 nor 11 as the sum of the numbers on the faces.
→
Find the domain and range of the following real valued functions:
$\text{f(x)}=\frac{\text{ax}+\text{b}}{\text{bx}-\text{a}}$
→
Find the area of the triangle whose vertices are $\mathrm{A}(-2,-3), \mathrm{B}(3,2)$ and $\mathrm{C}(-1,-8)$
→
Describe the following sets in set-builder form:
D = {10, 11, 12, 13, 14, 15};
→
Find $\sin 2 x, \cos 2 x, \tan 2 x$ if $\sec x=-\frac{13}{5}, \frac{\pi}{2}$
→
In the following expansions, find the indicated term.$\left(\frac{4 x}{5}-\frac{5}{2 x}\right)^9, 7$ th term
→
If p, q, r, s are in G.P., show that p + q, q + r, r + s are also in G. P.
→
Describe the following sets in set-builder form:
C = {0, 3, 6, 9, 12, ...};
→