WBJEE · Maths · Permutation Combination
The letters of the word COCHIN are permuted and all permutations are arranged in an alphabetical order as in an English dictionary. The number of words that appear before the word COCHIN is
- A 96
- B 48
- C 183
- D 267
Answer & Solution
Correct Answer
(A) 96
Step-by-step Solution
Detailed explanation
In a dictionary, the words at each stage are arranged in aiphabetical order. In the given problem, we must consider the words beginning with \(\mathrm{C}, \mathrm{C}, \mathrm{H}, I, \mathrm{N}, \mathrm{O}\) in order. So. Number of words starting with \(C C=4 !\) Number of words…
See the Complete Solution
Get step-by-step explanations for this and 2.5 Lakh+ more JEE, NEET & CET questions.
- Unlock all solutions
- Practice the full chapter
- Track accuracy across PYQs
4.8 rated on Google Play · 14,000+ reviews
More questions from Maths
- For the real numbers \(x \& y\), we write \(x p\) y if \(x-y+\sqrt{2}\) is an irrational number. Then relation \(p\) isWBJEE 2024 Easy
- For what value of ' \(a\) ', the sum of the squares of the roots of the equation \(x^2-(a-2) x-a+1=0\) will have the least value?WBJEE 2025 Medium
- On set \(A=\{1,2,3\},\) relations \(R\) and \(S\) are given by \(R=\{(1,1),(2,2),(3,3),(1,2),(2,1)\}\)
\(S=\{(1,1),(2,2),(3,3),(1,3),(3,1)\}\)
Then,WBJEE 2017 Easy - \(\lim _{n \rightarrow \infty} \frac{\sqrt{1}+\sqrt{2}+\ldots+\sqrt{n-1}}{n \sqrt{n}}\) is equal toWBJEE 2015 Medium
- Let \(A, B, C\) be three non-void subsets of set \(S\). Let \((A \cap C) \cup\left(B \cap C^{\prime}\right)=\phi\) where \(C^{\prime}\) denote the complement of set \(C\) in S. ThenWBJEE 2021 Easy
- General solution of \(y \frac{d y}{d x}+b y^{2}=a \cos x\) \(0 \leq x < 1\) is (Here, \(c\) is an arbitrary constant)WBJEE 2016 Medium
More PYQs from WBJEE
- The value of the integral \(\int_{0}^{\pi / 4} \frac{\sin x+\cos x}{3+\sin 2 x} d x\)
is equal toWBJEE 2012 Medium - The velocity of a particle executing a simple harmonic motion is \(13 \mathrm{ms}^{-1}\), when its distance from the equilibrium position \((Q)\) is \(3 \mathrm{m}\) and its velocity is \(12 \mathrm{ms}^{-1},\) when it is \(5 \mathrm{m}\) away from \(Q .\) The frequency of the simple harmonic motion isWBJEE 2017 Medium
- Magnetic field intensity \(\mathrm{H}\) at the centre of a circular loop of radius \(\mathrm{r}\) carrying current \(\mathrm{I}\) e m.u isWBJEE 2009 Hard
- In the adjoining figure, the potential difference between \(X\) and \(Y\) is 60 V. The potential difference between the points \(M\) and \(N\) will be
WBJEE 2012 Medium - The value of \(\lim _{n \rightarrow \infty}\left[\left(\frac{1}{2 \cdot 3}+\frac{1}{2^2 \cdot 3}\right)+\left(\frac{1}{2^2 \cdot 3^2}+\frac{1}{2^3 \cdot 3^2}\right)+\ldots+\left(\frac{1}{2^n \cdot 3^n}+\frac{1}{2^{n+1} \cdot 3^n}\right)\right]\) isWBJEE 2023 Medium
- 1.

2.
3.
4.
The dipeptides which may be obtained from the aminoacids glycine and alanine areWBJEE 2021 Medium