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

JEE Main 2025: BTech CSE cut-offs for PwD candidates at NITs make entry easy; top institutes still selective
anam-khan

73 or 99 percentile? JEE Main result questioned, J-K candidate says, ‘Don’t create hype’
anam-khan

JEE Main 2025: 11 from Kota coaching centres among 24 students with 100 percentile

Latest Question