All Courses
Explore Courses UPSC Exam UPSC Test Series Free Notes EduRev Infinity Get the App Login Join for Free
Sign in Open App
JEE Exam  >  JEE Questions  >  Nidhi has 6 friends. In how many ways can she... Start Learning for Free
Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?
  • a)
    64
  • b)
    63
  • c)
    25
  • d)
    24
Correct answer is option 'B'. Can you explain this answer?
Clear all your JEE doubts with EduRev
Verified Answer
Nidhi has 6 friends. In how many ways can she invite one or more of th...
She has 6 friends and he wants to invite one or more. That is the same as saying he wants to invite at least 1 of his friends.
 
So, the number of ways he could do this is:
Invite only one friend
Invite any two friends
Invite any three friends
Invite any four friends
Invite any five friends
Invite all six friends
This can be thought of in terms of combinations. Inviting  r  friends out of  n  is same as choosing  r  friends out of  n . So, we can write the possibilities as:
6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6 
= 6 + 15 + 20 + 15 + 6 + 1 
= 63
View all questions of this test
Most Upvoted Answer
Nidhi has 6 friends. In how many ways can she invite one or more of th...
See if we think there is a set of six elments there no. of ways to write it (i.e. subsets) are 64 but in the subsets of any set we include an empty set "phii' which we will not include here bcoz in question its clearly written one or more.. so the answer is 63
Free Test
FREE
Start Free Test
Start Free Test
Community Answer
Nidhi has 6 friends. In how many ways can she invite one or more of th...
She has 6 friends and he wants to invite one or more. That is the same as saying he wants to invite at least 1 of his friends.
 
So, the number of ways he could do this is:
Invite only one friend
Invite any two friends
Invite any three friends
Invite any four friends
Invite any five friends
Invite all six friends
This can be thought of in terms of combinations. Inviting  r  friends out of  n  is same as choosing  r  friends out of  n . So, we can write the possibilities as:
6C1 + 6C2 + 6C3 + 6C4 + 6C5 + 6C6 
= 6 + 15 + 20 + 15 + 6 + 1 
= 63
Explore Courses for JEE exam

Similar JEE Doubts

When I was a child, there used to be a fair in my town during the Diwali and Eid festivities. Among the many things I saw was a strange puppet show. There were three puppets, one of a man, another of a woman and the third one of a rakshasa (demon). Whenever the rakshasa was brought close to the woman, she would turn her face away. But when the man was brought close to her, she would turn back and face the man. I and my friends looked at this show and argued for hours what caused the woman to turn her face. Choose one or more of the options below about my childhood experience above: Q. One of my friends stayed back one day at the show and kept looking at the puppets for a long time. He asked the manager of the show to move the puppets in certain ways. The manager as a kind person and with my friend insisting, he agreed to do what my friend asked for. But he did not the friend if there were magnets in the puppets. But the next day, the friend told us that he was sure that there were magnets inside the puppets faces. What did he ask the manager to do and what could he have Seen? He must see the effect after asking for moving the puppets

Direction :A, B, C and D are four friends living together in a flat and they have an agreement that whatever edible comes they will share equally am ong themselves. One day A’ s uncle came to him and gave a box of laddoos. Since no one was around, A divided the laddoos in four equal parts and ate his share after which he put the rest in the box. As he was closing the box, 8 walked in and took the box. He again divided remaining laddoos in four equal parts. A and B ate one part each and kept the remaining laddoos in the box. Suddenly C appeared and snatched the box. He again divided the laddoos in four equal parts, the three of them ate one part each and kept the remaining laddoos in the box. Later when D came, he again divided the laddoos in four equal parts and all four ate their respectively share. In total D ate 3 laddoes.Q. How many laddoos, did A eat the first time?

Top Courses for JEEView all

Top Courses for JEE

Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer?
Question Description
Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? for JEE 2025 is part of JEE preparation. The Question and answers have been prepared according to the JEE exam syllabus. Information about Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? covers all topics & solutions for JEE 2025 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer?.
Solutions for Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? in English & in Hindi are available as part of our courses for JEE. Download more important topics, notes, lectures and mock test series for JEE Exam by signing up for free.
Here you can find the meaning of Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? defined & explained in the simplest way possible. Besides giving the explanation of Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer?, a detailed solution for Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? has been provided alongside types of Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? theory, EduRev gives you an ample number of questions to practice Nidhi has 6 friends. In how many ways can she invite one or more of them to a party at her home?a)64b)63c)25d)24Correct answer is option 'B'. Can you explain this answer? tests, examples and also practice JEE tests.
Explore Courses for JEE exam

Top Courses for JEE

Explore Courses
SaveJoin the Discussion on the App for FREE
Signup for Free!
Signup to see your scores go up within 7 days! Learn & Practice with 1000+ FREE Notes, Videos & Tests.
10M+ students study on EduRev
Get App
© 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