In a question paper there are $10$ questions, each question having three internal choices. In how many ways can a candidate attempt one or more questions?

4^{10}

No worries! We‘ve got your back. Try BYJU‘S free classes today!

2^{10} - 1

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

30

No worries! We‘ve got your back. Try BYJU‘S free classes today!

None of these

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B $2^{10} - 1$
Total number of questions $= 10$

Each question has one chance of answering and one chance of leaving

Total chance for the total $10$ questions $= 2^{10}$

There’s one chance where all the questions are not attempted

Hence the required answer is $= 2^{10} - 1$

Suggest Corrections

Similar questions

Q. A question paper consists of three sections 4,5 and 6 questions respectively. Attempting one question from each section is compulsory but a candidate need not attempt all the questions. In how many ways can the candidate attempt the question paper?

Q. There are

3

sections in a question paper each containing

5

questions. A candidates has to solve only

5

questions, choosing at least one question from each section. In how many ways can he make his choice?

Q. A question paper consists of two sections having respectively 3 and 4 questions. The following note is given on the paper "It is not necessary to attempt all the questions. One question from each section is compulsory". In how many ways can a candidate select the questions?

An examination paper contains two groups each containing 5 questions. A candidate is required to attempt 5 questions but not more than 3 questions from any group. In how many ways can 5 questions be selected?

Join BYJU'S Learning Program

In a question paper there are 10 questions, each question having three internal choices. In how many ways can a candidate attempt one or more questions?

The correct option is B 210−1Total number of questions=10 Each question has one chance of answering and one chance of leaving Total chance for the total 10 questions =210 There’s one chance where all the questions are not attempted Hence the required answer is =210−1

In a question paper there are $10$ questions, each question having three internal choices. In how many ways can a candidate attempt one or more questions?