A user ID is to be created with a sequence of three distinct letters chosen from…
MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations
Problem
A user ID is to be created with a sequence of three distinct letters chosen from {A,B,C,D,E} followed by a two-digit number. The second letter in the sequence must not be a vowel, and the two digits must be distinct with the last digit odd. How many different user IDs can be formed?
(a) 1620
(b) 2400
(c) 1440
(d) 1800