Question:
How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements?
How many different subsets of the set {10, 14, 17, 24} are there that contain an odd number of elements?
Updated On: Sep 25, 2025
- 8
- 6
- 3
- 10
Hide Solution
Verified By Collegedunia
The Correct Option is A
Solution and Explanation
Choosing 1 or 3 from the 4 values will make a subset that contains an odd number.
so choose 1 out of 4 is 4c1 = 4
and choose 3 out of 4 is 4c3 = 4
total = 4+4 = 8
The correct option is (A): 8
so choose 1 out of 4 is 4c1 = 4
and choose 3 out of 4 is 4c3 = 4
total = 4+4 = 8
The correct option is (A): 8
Was this answer helpful?
0
0
Top Questions on Permutations and Combinations
- \(20\) girls, among whom are \(A\) and \(B\) sit down at a round table. The probability that there are \(4\) girls between \(A\) and \(B\) is
- CMAT - 2025
- Quantitative Ability and Data Interpretation
- Permutations and Combinations
- From the word ARRANGEMENT, how many distinct 9-letter words can be formed?
- NIMCET - 2025
- Mathematics
- Permutations and Combinations
- How many 4-digit numbers can be formed using digits 1 to 6 if the digit 4 is never there in the number and the repetition of digits is not allowed?
- MAT - 2025
- Mathematics
- Permutations and Combinations
- A shop has 4 distinct flavors of ice-cream. One can purchase any number of scoops of any flavor. The order in which the scoops are purchased is inconsequential. If one wants to purchase 3 scoops of ice-cream, in how many ways can one make that purchase?
- GATE CS - 2025
- Mathematics
- Permutations and Combinations
- Stocks A, B and C, at 120, 90 and 80 rs respectively. A trader holds a portfolio consisting 60 shares of A, 20 of B and C together. If total value is 33000 what is the number of shares he holds.
- CAT - 2025
- Quantitative Aptitude
- Permutations and Combinations
View More Questions
Questions Asked in NMAT exam
- What will come in the place of x?
- NMAT - 2025
- Puzzle
- If the square represents dancers, circle represents the singers, and rectangle represents the chefs, then how many teachers are there who are not singers?
- NMAT - 2025
- Visual Reasoning
- Two trains A and B start simultaneously in the opposite direction from two points A and B and arrive at their destinations 9 and 4 hours respectively after their meeting each other. At what rate does the second train B travel if the first train travels at 80 km per hour.
- NMAT - 2025
- Time, Speed and Distance
- From the following words, identify which word will make a similar analogous relationship as the first pair.
Pervers: Troublesome :: Subservient:
- NMAT - 2025
- Analogy
- This question consists of two capitalized words that have a certain relationship to each other, followed by a certain pair of words. Choose the pair that is RELATED to each other in the same way as the capitalized pair.
ASCERTAIN : DISREGARD :: DEVIOUS : ?
- NMAT - 2025
- Analogy
View More Questions