If ^ 24 C_ x = ^ 24 C_ 2 x+3 , Find x. - Vidyadip

Question

If ${ }^{24} \mathrm{C}_{\mathrm{x}}={ }^{24} \mathrm{C}_{2 x+3}$, Find x.

✓

Answer

We have, If ${ }^n C_p={ }^n C_q=n$ Then $p+q=n$ Also, $x+2 x+3=243 x=21 x=7$

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 "(Each question 4 marks)" from Binomial Theorem→Binomial Theorem — all question types→MATHS STD 11 Science question papers→Gujarat Board STD 11 Science question papers→Gujarat Board question paper generator→

Similar questions

In a group of 950 person, 750 can speak Hindi and 460 can speak English. Find:
how many can speak Hindi only.

Find the area of the triartgle formed by the lines joining the vertex of the parabola $x^2 = 12y$ to the ends of its latus-rectum.

Evaluate the following limit: $\lim\limits_{\text{n}\rightarrow\infty}\frac{\text{x}^4+7\text{x}^3+46\text{x}+\text{a}}{\text{x}^4+6},$ where a is a non-zero real number.

Prove the following: $\sin2\text{x}+2\sin4\text{x}+\sin6\text{x}=4\cos^2\text{x}\sin4\text{x}$

Sketch the graphs of the following trigonometric functions: $\text{u(x)}=\cos^2\frac{\text{x}}{2}$

Find the centre, the lengths of the axes, eccentricity, foci of the following ellipse:$\text{x}^2+4\text{y}^2-2\text{x}=0$

Sketch the graphs of the following curves on the same scale and the same axes: $\text{y}=\cos^2\text{x}$ and $\text{y}=\cos\text{x}$

Find $\lim\limits_{\text{x}\rightarrow-\frac{5}{2}}{[\text{x}]}.$

Calculate the mean, median and standard deviation of the following distribution:

Class-interval:	31-35	36-40	41-45	46-50	51-55	56-60	61-65	66-70
Frequency:	2	3	8	12	16	5	2	3

Evaluate the following limits in Exercise:$\lim\limits_{\text{x}\rightarrow0}\frac{\cos2\text{x}-1}{\cos\text{x}-1}$