CA Foundation P3 · Chapter 5 · Question 5 of 9
How many 4-digit even numbers can be formed using the digits 1, 2, 3, 4, 5, 6, 7 if no digit is repeated?
Test yourself: pick an answer
Reveal answer & explanation
Correct answer: D) 360
Explanation
The units place must be even: 2, 4 or 6, giving 3 choices. The remaining three places are filled from the other 6 digits in ⁶P₃ = 6 x 5 x 4 = 120 ways. Total = 3 x 120 = 360. ⁷P₄ = 840 counts all 4-digit numbers, and 480 counts the odd ones.
More Basic Concepts of Permutations and Combinations MCQs
- Q7The number of diagonals of a polygon with 12 sides is:
- Q8In how many ways can the letters of the word ARTICLE be arranged so that the vowels occupy only the even positions?
- Q9If ⁿC₈ = ⁿC₁₂, then ⁿC₁₇ is equal to:
- Q1The number of different arrangements of the letters of the word LEDGER is:
- Q2In how many ways can a committee of 3 be chosen from 8 persons?