Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • NCERT
  • How many 3- digit even numbers can be made using the digits 1, 2, 3, 4, 6, 7 if no digit is repeated?

Q.3.    How many 3-digit even numbers can be made using the digits

          1, 2, 3, 4, 6, 7, if no digit is repeated?
         

         

Answers (1)

best_answer

3-digit even numbers can be made using the digits  1, 2, 3, 4, 6, 7, if no digit is repeated.

The unit place can be filled in 3 ways by any digits from 2,4 or 6.

The digit cannot be repeated in 3-digit numbers and the unit place is occupied with a digit(2,4 or 6).

Hundreds, tens place can be filled by remaining any 5 digits.

Therefore, there will be as many 2-digit numbers as there are permutations of 5 different digits taken 2 at a time.

Therefore, the required number of 2-digit numbers =^{5}P_2

                                                                           =\frac{5!}{(5-2)!}

                                                                            =\frac{5!}{3!}

                                                                           =\frac{ 5\times 4\times 3!}{3!}

                                                                         =5\times 4=20

Thus, by multiplication principle, required 3 -digit numbers is  3\times 20=60

Posted by

seema garhwal

View full answer

Crack CUET with india's "Best Teachers"

  • HD Video Lectures
  • Unlimited Mock Tests
  • Faculty Support
cuet_ads

Similar Questions

Trending Articles/News

anam-khan

CBSE board exams 2025 from February 15; Class 10, 12 subject-wise marks distribution
anam-khan

CBSE Date Sheet 2025: Class 10, 12 board exam dates soon on cbse.gov.in; previous trends, sample papers
anam-khan

CBSE Board Exams 2025: 75% attendance must for students to be eligible, reiterates board

Latest Question