Browse by Stream
QnA
Home
QnA
Go To Your Study Dashboard

Get Answers to all your Questions

header-bg qa
  • Home
  • Engineering
  • 7 men and 10 women must be seated in a row, with the women taking the even-numbered seats. How many agreements of this kind are possible?Option: 1 <p di

7 men and 10 women must be seated in a row, with the women taking the even-numbered seats. How many agreements of this kind are possible?

Option: 1

10! 4!


Option: 2

9! 5!


Option: 3

9! 7!

 


Option: 4

10! 7!


Answers (1)

best_answer

Given that,

There are 7 men and 10 women.

The total number of people is 17.

Women only occupy even positions. Women are limited to 10 even spaces.

Thus, 10 women can sit in 10 positions.

^{10}P_{10}=\frac{10!}{(10-10!)}

^{10}P_{10}=10!

7 men can sit in 7 positions.

Thus,

^{7}P_{7}=\frac{7!}{(7-7!)}

^{7}P_{7}=7!

Therefore, the possible number of arrangements is 10! 7!.

 

Posted by

vinayak

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 in AI gains popularity; IIT, NIT cut-offs for artificial intelligence
anam-khan

JEE Main 2025 Live: NTA JEE session 1 begins tomorrow; admit card link, exam pattern, passing marks
anam-khan

JEE Main 2025 exam centre changed at UAE's Sharjah due to “unavoidable circumstances”

Latest Question