Download App

Permutations and Combination — Maths STD 11 Science — Question

Maharashtra BoardEnglish MediumSTD 11 ScienceMathsPermutations and Combination2 Marks
Question
Find n if,
${ }^{23} C_{3 n}={ }^{23} C_{2 n+3}$
✓

Answer

${ }^{23} C_{3 n}={ }^{23} C_{2 n+3}$
$\text { If }{ }^n C_x={ }^n C_y \text {, then either } x=y \text { or } x=n-y$
$\therefore 3 n=2 n+3 \text { or } 3 n=23-2 n-3$
$\therefore n=3 \text { or } n=4$

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 and Combination→Permutations and Combination — 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 values of : tan 225°
→
For the parabola $y^2=4 x$, find the coordinates of the point whose focal distance is 17 .
→
Show the following quadratic equation by factorization method:
$x^2 + x + 1 = 0$
→
Evaluate the following limits:
$\lim _{x \rightarrow 7}\left[\frac{(\sqrt[3]{x}-\sqrt[3]{7})(\sqrt[3]{x}+\sqrt[3]{7})}{x-7}\right]$
→
$\sin 47^{\circ}+\sin 61^{\circ}-\sin 11^{\circ}-\sin 25^{\circ}=\cos 7^{\circ}$
→
A card is drawn at random from a pack of 52 cards, find the probability that the card drawn is:Neither a heart nor a king
→
A school has three gates and four staircases from the first floor to the second floor. How many ways does a student have to go from outside the school to his classroom on the second floor?
→
How many words, with or without meaning, can be formed by using all the letters of the word 'DELHI', using each letter exactly once?
→
The 4th term of an A.P. is three times the first and the 7th term exceeds twice the third term by 1. Find the first term and the common difference.
→
Prove that:
$\frac{\sin\text{x}+\sin2\text{x}}{1+\cos\text{x}+\cos2\text{x}}=\tan\text{x}$
→