CA Foundation · Quantitative Aptitude · Permutations and Combinations
A club has 10 members. The number of ways to select a committee of any size from 1 to 10 members, i.e. at least one member, equals which value?
The answer is 1023. The sum of 10Cr for r from 0 to 10 is 2^10 = 1024, and removing the empty committee (10C0 = 1) leaves 1023 ways.
- A1023Correct
- B1024
- C1000
- D1013
Explanation
Total subsets are 2^10 = 1024, which includes the empty selection. Excluding it gives 1024 - 1 = 1023. Option 1024 wrongly counts selecting nobody.
Did you get it right without looking?
One question tells you little. A timed set on Permutations and Combinations shows your real accuracy, how long you take and where you lose marks.
More Permutations and Combinations questions
- Six directors of a company in Pune are to be seated around a circular table for a board meeting. In how many distinct ways can they be seate…
- A traveller can go from Delhi to Jaipur by 3 train routes or 2 bus routes. From Jaipur to Udaipur there are 4 train routes and 3 bus routes.…
- A restaurant in Hyderabad offers 4 starters, 5 main courses and 3 desserts. A customer orders one starter, one main course and one dessert. …
- A student must answer 6 questions out of 10 in a paper, and must choose at least 4 from the first 5 questions. In how many ways can the stud…
- How many 5-digit numbers greater than 40000 can be formed using the digits 1, 2, 3, 4, 5, 6 without repetition of any digit?
- In how many ways can 6 persons be seated around a circular table if two particular persons, Anil and Bina, must NOT sit next to each other?