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: Oct 24, 2024
- 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
- P, Q, R and S are four towns. One can travel between P and Q along 3 direct paths, between Q and S along 4 direct paths, and between P and R along 4 direct paths. There is no direct path between P and S, while there are few direct paths between Q and R, and between R and S. One can travel from P to S either via Q, or via R, or via Q followed by R, respectively, in exactly 62 possible ways. One can also travel from Q to R either directly, or via P, or via S, in exactly 27 possible ways. Then, the number of direct paths between Q and R is
- CAT - 2024
- Quantitative Aptitude
- Permutations and Combinations
- The sum of all four-digit numbers that can be formed with the distinct non-zero digits $a$, $b$, $c$, and $d$, with each digit appearing exactly once in every number, is $153310 + n$, where $n$ is a single digit natural number. Then, the value of $(a + b + c + d)$ is ?
- CAT - 2024
- Quantitative Aptitude
- Permutations and Combinations
- In a certain class, 40\(\%\) of the students take coffee, 40\(\%\) take tea, 50\(\%\) take milk, and 10\(\%\) take all the three. Also, 20\(\%\) take coffee and tea, 20\(\%\) take tea and milk, and 20\(\%\) take coffee and milk. 10 students do not take any of the three. How many students are there in the class?
- KMAT KERALA - 2024
- Quantitative Aptitude
- Permutations and Combinations
- In a class of 150 students, 55 speak English, 85 speak Malayalam and 30 speak neither English nor Malayalam. How many students speak both English and Malayalam?
- KMAT KERALA - 2024
- Quantitative Aptitude
- Permutations and Combinations
- Find the number of permutations that can be made from the letters of the word OMEGA, if the vowels occupy odd places.
- CMAT - 2024
- Quantitative Ability and Data Interpretation
- Permutations and Combinations
View More Questions
Questions Asked in NMAT exam
- Sumeet spends 10% of his salary on his child’s education, 20% of the remainder on rent and 25% of the balance on garments. Finally, he is left with $ 5,400. What is his salary?
- NMAT - 2022
- Commercial Maths
- Directions: Go through the given table and solve the questions based on it
State
Total Population
(in Lakhs)Male Population
(in Lakhs)Rural Population
(\(\%\))Area
(in Sq. Km)2001 2006 2001 2006 2001 2006 Uttar Pradesh 1660 1731 875 911 71 70 2,38,576 Madhya Pradesh 603 674 314 360 72 71 3,08,144 Andhra Pradesh 761 823 385 417 69 68 2,75,068 Tamil Nadu 624 697 315 348 70 67 1,30,058 Orissa 368 384 186 195 73 72 1,55,707 Maharashtra 968 1013 504 527 68 66 3,07,713 West Bengal 802 865 412 446 69 68 88,752 - NMAT - 2022
- Percentage
- Directions: Go through the given graphs and solve the questions based on them.
- NMAT - 2022
- Percentage
- Directions: Read the passage below. Solve the question based on the information in the passage.
Ajay would do five tasks: A, B, C, D and E, starting at 9:00 a.m. A is the first task and takes 2 hours. B can be done after A is complete and requires 1 hour. Work on C, which would take 1 hour, can start only after A and B are completed. Ajay can do task D along with B and C, and would take 3 hours. Activity E, with duration of 1 hour, can start upon completion of A, B, C and D.- NMAT - 2022
- Puzzle
- Directions: In a marriage party, 278 guests were present. Twenty guests took Pepsi and Dew, 23 guests took Dew and Sprite, 21 guests took Pepsi and Sprite, and 9 guests took all three cold drinks (Pepsi, Sprite and Dew). It is also known that there were equal numbers of bottles of each of the three kinds (Pepsi, Dew and Sprite).
- NMAT - 2022
- Puzzle
View More Questions