Class 11 Exam > Class 11 Questions > A lady gives a dinner party to 6 guests . The...
Start Learning for Free
A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together?
Most Upvoted Answer
A lady gives a dinner party to 6 guests . The no.of ways in which they...
Total number of friends=10,
no. of friends to be selected=6,
required number of ways= total number of ways - total number of ways of selecting two friends always,
ways of selecting 6 friends among 10=10C6,
=10!/6!4!=210ways,
total number of selecting two friends always=
2C2×8C4=8!/4!4!=70,
required number of ways=210-70=140
no. of friends to be selected=6,
required number of ways= total number of ways - total number of ways of selecting two friends always,
ways of selecting 6 friends among 10=10C6,
=10!/6!4!=210ways,
total number of selecting two friends always=
2C2×8C4=8!/4!4!=70,
required number of ways=210-70=140
Community Answer
A lady gives a dinner party to 6 guests . The no.of ways in which they...
Let us say two friends A and B among the 10 friends will not attend the party together.
• Case 1: Both A and B didn't attend the party
So, we have to select 6 from the rest 8 friends. It can be done in 8C6 = 28 ways
• Case 2: A attends the party so B won't
Here already A is confirmed to attend, so we have to select 5 more guests from the remaining. But as A is attending B won't attend and we have to exclude him. So, we have to select 5 from the rest 8 guests. It can be done in 8C5 = 56 ways
• Case 3: B attends the party so A won't
Here already B is confirmed to attend, so we have to select 5 more guests from the remaining. But as B is attending A won't attend and we have to exclude him. So, we have to select 5 from the rest 8 guests. It can be done in 8C5 = 56 ways
Total number of ways = 28 + 2(56)
= 140 ways
• Case 1: Both A and B didn't attend the party
So, we have to select 6 from the rest 8 friends. It can be done in 8C6 = 28 ways
• Case 2: A attends the party so B won't
Here already A is confirmed to attend, so we have to select 5 more guests from the remaining. But as A is attending B won't attend and we have to exclude him. So, we have to select 5 from the rest 8 guests. It can be done in 8C5 = 56 ways
• Case 3: B attends the party so A won't
Here already B is confirmed to attend, so we have to select 5 more guests from the remaining. But as B is attending A won't attend and we have to exclude him. So, we have to select 5 from the rest 8 guests. It can be done in 8C5 = 56 ways
Total number of ways = 28 + 2(56)
= 140 ways
Attention Class 11 Students!
To make sure you are not studying endlessly, EduRev has designed Class 11 study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in Class 11.
|
Explore Courses for Class 11 exam
|
|
Similar Class 11 Doubts
Top Courses for Class 11View all
A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together?
Question Description
A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together?.
A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? for Class 11 2024 is part of Class 11 preparation. The Question and answers have been prepared according to the Class 11 exam syllabus. Information about A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? covers all topics & solutions for Class 11 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together?.
Solutions for A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? in English & in Hindi are available as part of our courses for Class 11.
Download more important topics, notes, lectures and mock test series for Class 11 Exam by signing up for free.
Here you can find the meaning of A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? defined & explained in the simplest way possible. Besides giving the explanation of
A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together?, a detailed solution for A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? has been provided alongside types of A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? theory, EduRev gives you an
ample number of questions to practice A lady gives a dinner party to 6 guests . The no.of ways in which they may be selected from among 10 friends ,if two of the friends will not attend the party together? tests, examples and also practice Class 11 tests.
|
|
Explore Courses for Class 11 exam
|
|
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
Follow Us
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup