CA Foundation Exam > CA Foundation Questions > A person has 8 friends. The number of ways in...
Start Learning for Free
A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.
- a)250
- b)255
- c)200
- d)none of these
Correct answer is option 'B'. Can you explain this answer?
| FREE This question is part of | Download PDF Attempt this Test |
Most Upvoted Answer
A person has 8 friends. The number of ways in which he may invite one ...
Solution:
To invite one or more friends to a dinner, the person has two options:
1. He can invite any one of the 8 friends
2. He can invite any two or more friends from 8 friends
Total number of ways in which he may invite one ore more friends to a dinner = (Number of ways to invite 1 friend) + (Number of ways to invite 2 friends) + (Number of ways to invite 3 friends) + ... + (Number of ways to invite all 8 friends)
Number of ways to invite 1 friend = 8
Number of ways to invite 2 friends = 8C2 = 28
Number of ways to invite 3 friends = 8C3 = 56
Number of ways to invite 4 friends = 8C4 = 70
Number of ways to invite 5 friends = 8C5 = 56
Number of ways to invite 6 friends = 8C6 = 28
Number of ways to invite 7 friends = 8C7 = 8
Number of ways to invite 8 friends = 1
Total number of ways = 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 255
Therefore, the correct option is (B) 255.
To invite one or more friends to a dinner, the person has two options:
1. He can invite any one of the 8 friends
2. He can invite any two or more friends from 8 friends
Total number of ways in which he may invite one ore more friends to a dinner = (Number of ways to invite 1 friend) + (Number of ways to invite 2 friends) + (Number of ways to invite 3 friends) + ... + (Number of ways to invite all 8 friends)
Number of ways to invite 1 friend = 8
Number of ways to invite 2 friends = 8C2 = 28
Number of ways to invite 3 friends = 8C3 = 56
Number of ways to invite 4 friends = 8C4 = 70
Number of ways to invite 5 friends = 8C5 = 56
Number of ways to invite 6 friends = 8C6 = 28
Number of ways to invite 7 friends = 8C7 = 8
Number of ways to invite 8 friends = 1
Total number of ways = 8 + 28 + 56 + 70 + 56 + 28 + 8 + 1 = 255
Therefore, the correct option is (B) 255.
Free Test
FREE
| Start Free Test |
Community Answer
A person has 8 friends. The number of ways in which he may invite one ...
For each friend, the person has two choices: either to invite them or not to invite them. Since there are 8 friends, each with 2 choices, the total number of ways to choose friends (including choosing none) is:
28 = 256
However, since the question specifies "one or more" friends, we subtract the case where no friends are invited.
256-1 = 255
However, since the question specifies "one or more" friends, we subtract the case where no friends are invited.
256-1 = 255
Correct answer: b) 255
Attention CA Foundation Students!
To make sure you are not studying endlessly, EduRev has designed CA Foundation study material, with Structured Courses, Videos, & Test Series. Plus get personalized analysis, doubt solving and improvement plans to achieve a great score in CA Foundation.
|
Explore Courses for CA Foundation exam
|
|
Similar CA Foundation Doubts
Top Courses for CA FoundationView all
A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer?
Question Description
A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? for CA Foundation 2024 is part of CA Foundation preparation. The Question and answers have been prepared according to the CA Foundation exam syllabus. Information about A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? covers all topics & solutions for CA Foundation 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer?.
Solutions for A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for CA Foundation.
Download more important topics, notes, lectures and mock test series for CA Foundation Exam by signing up for free.
Here you can find the meaning of A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of
A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer?, a detailed solution for A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? has been provided alongside types of A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? theory, EduRev gives you an
ample number of questions to practice A person has 8 friends. The number of ways in which he may invite one or more of them to a dinner is.a)250b)255c)200d)none of theseCorrect answer is option 'B'. Can you explain this answer? tests, examples and also practice CA Foundation tests.
|
|
Explore Courses for CA Foundation exam
|
|
Suggested Free Tests
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
|
© EduRev
|
Education Revolution
|
|
Signup to see your scores
go up within 7 days!
Access 1000+ FREE Docs, Videos and Tests
Takes less than 10 seconds to signup