Question 4

Mathematics Permutation and Combination Medium

The number of different license plates that can be formed in the format 3 English letters (A.....Z) followed by 4 digits ( 0,1 , ......9) with repetitions allowed in letters and digits is equal to

(A) \( 26^{3} \times 10^{4} \)
(B) \( 26^{3}+10^{4} \)
(C) 36
(D) \( 26^{3} \)
✓ Correct Answer: Option A Verified Solution

📘 Step-by-Step Solution & Detailed Explanation:

Correct Option is A. Practice regular variations of this Permutation and Combination concept to build speed and accuracy.

Practice Similar Permutation and Combination Questions

Reinforce your conceptual grasp with related questions from NIMCET 2011:

Q1 The number of words that can be formed by using the letters of the word...
Solve →
Q2 If \( A-B=π/4 \) , then \( (1+tan A)(1-tan B) \) is equal to
Solve →
Q3 Let \( P(E) \) denote the probability of event \( E \) . Given \( P(A)=1,...
Solve →
Q5 Which of the following is correct?
Solve →
Q6 If two towers of heights \( h 1 \) and \( h 2 \) subtend angles \( 60 \)...
Solve →
Full-Length Test Series

Prepare for NIMCET Under Real Exam Conditions

Take timed full-length mock tests with authentic question distributions, negative marking (+12/-3 in Math), and instant All India Rank calculation.

Start Free Mock Test Series →