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02 Jan 2024, 02:30
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E
Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
65%
(hard)
Question Stats:
65% (02:18) correct
35%
(01:58)
wrong
based on 166
sessions
History
Date
Time
Result
Not Attempted Yet
How many subsets of \(\{1,2,3,4,5,6,7,8\}\) contain at least one prime number?
A. 60
B. 120
C. 150
D. 180
E. 240
A. 60
B. 120
C. 150
D. 180
E. 240
02 Jan 2024, 02:56
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We need to know that total number of possible subsets from a given set of n elements is 2^n, because we have two possibilities for each element to be part or not part of subset
Atleast one prime = Total possible - sets without primes
Here we have 4 prime numbers: 2,3,5 and 7 and 4 non prime
Hence, answer would be 2^8 - 2^4 = 16*15 = 240
Atleast one prime = Total possible - sets without primes
Here we have 4 prime numbers: 2,3,5 and 7 and 4 non prime
Hence, answer would be 2^8 - 2^4 = 16*15 = 240
02 Jan 2024, 09:46
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Bunuel
OA is E
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