Question:
A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is
A letter lock contains 5 rings each marked with four different letters. The number of all possible unsuccessful attempts to open the lock is
Show Hint
For "unsuccessful attempts" subtract the successful one from total outcomes.
Updated On: Apr 16, 2026
- 625
- 1024
- 624
- 1023
Show Solution
Verified By Collegedunia
The Correct Option is D
Solution and Explanation
Step 1: Understanding the Concept:
Total possible combinations minus the successful one.
Step 2: Detailed Explanation:
Each ring has 4 letters. Total combinations = \(4^5 = 1024\).
Only 1 successful attempt (the correct code).
Unsuccessful attempts = \(1024 - 1 = 1023\).
Step 3: Final Answer:
Option (D) 1023.
Was this answer helpful?
0
0
Top MET Mathematics Questions
- Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
- MET - 2024
- Mathematics
- types of functions
- Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
- MET - 2024
- Mathematics
- Addition of Vectors
- Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
- MET - 2024
- Mathematics
- Differential equations
- If \(x = \sin(2\tan^{-1}2)\), \(y = \sin\left(\frac{1}{2}\tan^{-1}\frac{4}{3}\right)\), then:
- MET - 2024
- Mathematics
- Properties of Inverse Trigonometric Functions
- Let \( D = \begin{vmatrix} n & n^2 & n^3 \\ n^2 & n^3 & n^5 \\ 1 & 2 & 3 \end{vmatrix} \). Then \( \lim_{n \to \infty} \frac{M_{11} + C_{33}}{(M_{13})^2} \) is:
- MET - 2024
- Mathematics
- Determinants
View More Questions
Top MET permutations and combinations Questions
- If \(N\) denotes number of 8-digit numbers that contain exactly four nines, then unit digit of \(N\) is:
- MET - 2024
- Mathematics
- permutations and combinations
- The number of words (with or without meaning) that can be formed from all the letters of the word "LETTER" in which vowels never come together is _ _ _ _ _ .
- MET - 2023
- Mathematics
- permutations and combinations
- If \( \frac{C(2n,3)}{C(n,2)} = \frac{44}{3} \), then \( n \) is equal to
- MET - 2021
- Mathematics
- permutations and combinations
- The value of \(\frac{C(n,2){(n+1)!}\) is}
- MET - 2021
- Mathematics
- permutations and combinations
- The number of three digit numbers which have at least two identical digits is
- MET - 2021
- Mathematics
- permutations and combinations
View More Questions
Top MET Questions
- Let \( f:\mathbb{N} \to \mathbb{N} \) be defined as \[ f(n)= \begin{cases} \frac{n+1}{2}, & \text{if } n \text{ is odd} \\ \frac{n}{2}, & \text{if } n \text{ is even} \end{cases} \] Then \( f \) is:
- MET - 2024
- types of functions
- Given vectors \(\vec{a}, \vec{b}, \vec{c}\) are non-collinear and \((\vec{a}+\vec{b})\) is collinear with \((\vec{b}+\vec{c})\) which is collinear with \(\vec{a}\), and \(|\vec{a}|=|\vec{b}|=|\vec{c}|=\sqrt{2}\), find \(|\vec{a}+\vec{b}+\vec{c}|\).
- MET - 2024
- Addition of Vectors
- Given \(\frac{dy}{dx} + 2y\tan x = \sin x\), \(y=0\) at \(x=\frac{\pi}{3}\). If maximum value of \(y\) is \(1/k\), find \(k\).
- MET - 2024
- Differential equations
- Let \( f(x) \) be a polynomial such that \( f(x) + f(1/x) = f(x)f(1/x) \), \( x > 0 \). If \( \int f(x)\,dx = g(x) + c \) and \( g(1) = \frac{4}{3} \), \( f(3) = 10 \), then \( g(3) \) is:
- MET - 2024
- Definite Integral
- A real differentiable function \(f\) satisfies \(f(x)+f(y)+2xy=f(x+y)\). Given \(f''(0)=0\), then \[ \int_0^{\pi/2} f(\sin x)\,dx = \]
- MET - 2024
- Definite Integral
View More Questions