Evaluate the following: ^ n+1 C_n - Vidyadip

Question

Evaluate the following:
$^{n+1}C_n$

✓

Answer

We have,
$=\frac{(\text{n}+1)!}{(\text{n!})(\text{n+1-n})!}$
$=\frac{(\text{n+1})\times\text{n}!}{\text{n!}\times1!}$
$=\text{n}+1$

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.(3 Marks)" from Combinations→Combinations — all question types→Maths STD 11 Science question papers→Maharashtra Board STD 11 Science question papers→Maharashtra Board question paper generator→

Similar questions

Find the angle between the X-axis and the line joining the points (3, -1) and (4, -2).

The first and the last terms of an $A.P.$ area and I respectively. Show that the sum of $n^{th}$ term from the beginning and $n^{th}$ term from the end is $a + l.$

Find the derivatives of the following w.r.t. x. at the points indicated against them by using the method of the first principle:

$e ^{3 x-4}$ at $x=2$

Let R be a relation on N × N defined by:
$(\text{a, b})\text{ R }(\text{c, d})\Leftrightarrow\text{a}+\text{d}=\text{b}+\text{c}$ for all $(\text{a, b}),(\text{c, d})\in\text{N}\times\text{N}$
Show that:
$(\text{a},\text{b})\text{ R }(\text{c, d})\text{ and (c, d) R (e, f)}$
$\Rightarrow(\text{a, b})\text{ R (e, f)}$ for all $(\text{a, b}),(\text{c, d}),(\text{e, f})\in\text{N}\times\text{N}$

If A = {1, 2} and B = {1, 3}, find A × B and B × A.

Find the equation of the straight lines passing through the following pair of points:
(0, 0) and (2, -2)

Prove that
$\cos\frac{\pi}{5}\cos\frac{2\pi}{5}\cos\frac{\pi}{5}\cos\frac{8\pi}{5}=\frac{-1}{16}$

If the sum of n terms of an A.P. is $\text{np}+\frac{1}{2}\text{n}(\text{n}-1)$ Q, where P and Q are constants, find the common difference.

Show that the line $/ x-3 y-1=0$ touches the circle $x^2+y^2+5 x-1 y+4=0$ at point $(1,2).$

Find the rational number having the following decimal expansions:$0.\overline{231}$