📐 Mathematics · Permutations and Combinations · JEE

The number of 4-digit numbers with all distinct digits chosen from 1–9 that are even is:

Answer: 1344.

Correct answer: A. 1344

Explanation: Units digit even: 4 choices. Remaining three places from the other 8 digits: 8·7·6 = 336. Total 4·336 = 1344.

Counting tree for selecting 2 items from {A, B, C} without repetition: 3 x 2 = 6 ordered arrangements.

Concept context

Counting, arrangements, and selections