Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,7 without repetition, which are multiple of 6, isOption: 1 36

The total number of 5-digit numbers, formed by using the digits 1,2,3,5,6,7 without repetition, which are multiple of 6, is

Option: 1

36


Option: 2

48


Option: 3

60


Option: 4

72


Answers (1)

best_answer

The number must be multiple of both  2 & 3

For 3, sum of digits must be divisible by 3

1+2+3+5+6+7= 24, so can remove  3 or  6

\left ( 1,2,5,6,7 \right )\rightarrow \quad -----\left [ 2 \right ]= 2\times 4!= 2\times 24= 48
\left ( 1,2,3,5,7 \right )\rightarrow \quad -----\left [ \underline{2} \right ]= 4!= 24

Total = 48+24= 72

Option (D)
 

Posted by

Divya Prakash Singh

View full answer

JEE Main high-scoring chapters and topics

Study 40% syllabus and score up to 100% marks in JEE

Similar Questions

Trending Articles/News

anam-khan

Sigh of relief as JEE Main 2025 session 2 day 1 turns out easier than January exams
anam-khan

JEE Main 2025 April 2 shift 2 exam moderately difficult, math remains easy
anam-khan

JEE Main April 2 Exam Analysis 2025: Shift 1 maths easier compared to session 1; chemistry 'tough'

Latest Question