CA Foundation · Quantitative Aptitude · Permutations and Combinations
A club in Kochi has 10 members. In how many ways can a team of 4 be chosen so that a particular member, Anil, is always included?
Since Anil must be in the team, only the other 3 places are chosen from the remaining 9 members. This gives 9C3 = 84 ways. The figure 210 is 10C4, which ignores the compulsory inclusion.
- A84Correct
- B210
- C126
- D120
Explanation
With Anil fixed, choose the remaining 3 from the other 9: 9C3 = 84. The value 210 is 10C4, which ignores the condition. 126 is 9C4, which wrongly picks 4 more members.
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
- In how many different ways can 7 guests be seated around a circular dining table at a wedding reception in Lucknow, if only the relative pos…
- If nC2 = 66 for a positive integer n, what is the value of (n+1)C3?
- If (n+2)! = 56 × n!, what is the value of n?
- What is the value of 7! / (5! × 2!)?
- A box contains 5 red, 4 blue and 3 green distinct balls. In how many ways can 4 balls be selected so that at least one ball of each colour i…
- A necklace is to be made by stringing 6 different coloured beads on a thread, and it can be turned over so that clockwise and anticlockwise …