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18 Feb 2021, 04:15
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B
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
95%
(hard)
Question Stats:
18% (01:44) correct
82%
(01:15)
wrong
based on 38
sessions
History
Date
Time
Result
Not Attempted Yet
The number of all possible selection of one or more questions from 10 given questions, each question having an alternative is:
(A) 3^10
(B) 3^10 –1
(C) 2^10
(D) 2^10 – 1
(E) 2^10 – 2
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
(A) 3^10
(B) 3^10 –1
(C) 2^10
(D) 2^10 – 1
(E) 2^10 – 2
Are You Up For the Challenge: 700 Level Questions: 700 Level Questions
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Neha2404
Joined: 07 Mar 2020
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18 Feb 2021, 04:23
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IMO-B
Each question have 3 option
1-attempt the question
2- not attempt the question
3- attempt the alternative question
Total option is -3^10
But at least 1 questions is compulsory to attempt
So no of option is 3^10-1
Posted from my mobile device
Each question have 3 option
1-attempt the question
2- not attempt the question
3- attempt the alternative question
Total option is -3^10
But at least 1 questions is compulsory to attempt
So no of option is 3^10-1
Posted from my mobile device
18 Feb 2021, 08:24
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Bunuel
I'm not sure what you mean by "each question having an alternative," but my interpretation is that we can either select a question or not select a question.
For question #1, we have 2 options: select or don't select
For question #2, we have 2 options: select or don't select
For question #3, we have 2 options: select or don't select
.
.
.
For question #10, we have 2 options: select or don't select
So the total number of outcomes = (2)(2)(2)(2)(2)(2)(2)(2)(2)(2)
= (2)^10
IMPORTANT: Included among the 2^10 possible outcomes, we have 1 outcome in which ZERO questions are selected
The question tells us that one or more questions must be selected
So, we must subtract 1 from the 2^10 possible outcomes
Answer = 2^10 - 1 = D
