COMEDK · Maths · 4. Permutation Combination
Codes used for vehicle identification consists of two distinct English alphabets followed by two distinct digits from 1 to 9 . How many of them end with an even number.
- A \(2600\)
- B \(20800\)
- C \(5200\)
- D \(10400\)
Answer & Solution
Correct Answer
(B) \(20800\)
Step-by-step Solution
Detailed explanation
The vehicle identification code consists of four positions: two distinct English alphabets followed by two distinct digits from 1 to 9. The number of ways to choose two distinct alphabets is \(^{26}P_{2} = 26 \times 25 = 650\). The digits are chosen from the set…
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
- The coordinates of the vertices of the triangle are \(A(-2,3,6), B(-4,4,9)\) and \(C(0,5,8)\). The direction cosines of the median \(\mathrm{BE}\) areCOMEDK 2023 Medium
- If \(A=\{3,5,7\}\) and \(B=\{1,2,3,5\}\), then \(A \times B \cap B \times A\) is equal toCOMEDK 2022 Easy
- The total number of terms in the expansion of \((x+y)^{60}+(x-y)^{60}\) isCOMEDK 2023 Medium
- The maximum value of \(\frac{\log x}{x}\) in \((2, \infty)\) isCOMEDK 2019 Hard
- If \(z=\left(\dfrac{\sqrt{3}}{2}+\dfrac{i}{2}\right)^5+\left(\dfrac{\sqrt{3}}{2}-\dfrac{i}{2}\right)^5\), thenCOMEDK 2025 Medium
- Samhita faces a three-headed dragon. She wins a 'Tactical medal' if she manages to defeat exactly one of the three heads.
The battle proceeds head-by-head under the following conditions:
The probability of defeating the first head is \(\dfrac{1}{3}\).
After a win: if she defeats a head, the probability of defeating the next head is \(\dfrac{2}{3}\).
After a loss: if she fails to defeat a head, the probability of defeating the next head is \(\dfrac{1}{4}\).
What is the probability that Samhita earns the 'Tactical medal'?COMEDK 2026 Medium
More PYQs from COMEDK
- The magnetic flux linked with a coil satisfies the relation \(\phi=\left(4 t^2+6 t+9\right) \mathrm{Wb}\), where \(t\) is time in second. The emf induced in the coil at \(t=2 \mathrm{~s}\) isCOMEDK 2023 Easy
- Identify the incorrect statement/s.
A. The maximum number of electrons that can be accommodated in an atom, in which the largest Principal quantum number value is 4 , is 54 . B. According to Rydberg, all series of lines in Hydrogen spectrum can be described by the equation:
\(\frac{1}{\lambda}=109677\left(\frac{1}{n_1^2}-\frac{1}{n_2^2}\right) \mathrm{cm}^{-1}\) where \(\left(n_1COMEDK 2025 MediumWhen the same amount of electricity is passed through solutions of silver nitrate and copper sulphate, \(0.4 \mathrm{~g}\) copper is deposite(d)The amount of silver deposited isCOMEDK 2019 HardSpeed of electromagnetic wave in a medium having relative permittivity \(\varepsilon_r\) and relative permeability \(\mu_r\) is (speed of light in air, \(\left.c=3 \times 10^8 \mathrm{~m} / \mathrm{s}\right)\)COMEDK 2022 EasyOxygen is 16 times heavier than hydrogen. Equal volumes of hydrogen and oxygen are mixe(d)The ratio of speed of sound in the mixture to that in hydrogen isCOMEDK 2019 Easy Explore more questions on appIf \(2 x=-1+\sqrt{3} i\), then the value of \(\left(1-x^{2}+x\right)^{6}-\left(1-x+x^{2}\right)^{6}=\)COMEDK 2016 Medium