Permutation Combination - CAT 2016 Math Preparation
Question 4 the day:
July 10, 2006
The question for the day is a sample practice problem in Permutation Combination. The problem provides an understanding of the concept of selecting 'r' things out of 'n' things.
Question:
A college has 10 basketball players. A 5-member team and a captain will be selected out of these 10 players. How many different selections can be made?
- 1260
- 210
- 10C6 * 6!
- 10C5 * 6
Correct Answer - 1260. Choice (1)
Explanatory Answer
A team of 6 members has to be selected from the 10 players. This can be done in 10C6 or 210 ways.
Now, the captain can be selected from these 6 players in 6 ways.
Therefore, total ways the selection can be made is 210*6 = 1260.
Alternatively, we can select the 5 member team out of the 10 in 10C5 ways = 252 ways.
The captain can be selected from amongst the remaining 5 players in 5 ways.
Therefore, total ways the selection of 5 players and a captain can be made = 252*5 = 1260.
XLRI XAT TANCET Practice Question Samples
Sorted by Subject
Algebra,
Arithmetic & Geometric Progressions,
Averages and Mean,
Clocks and Calendars,
Data Sufficiency,
English Grammar,
Function,
Geometry,
Coordinate Geometry,
Mensuration,
Trigonometry,
Interest,
Inequality,
Mixtures & Alligations,
Number System and Theory,
Percentages,
Profit & Loss,
Permutation & Combination,
Probability,
Ratio, Proportion,
Set Language and Theory,
Speed, Time & Distance,
Races,
Pipes & Cisterns And Work & Time,
Miscellaneous,
General Knowledge.
|
|
Quick Links
| TANCET Questionbank |
|
TANCET MBA MCA Practice Questions with detailed explanation and shortcuts. 
|
|
| GMAT Math Books |
|
|
Comprehensive study material for GMAT Quant. 1800+ questions.
|
|
|
LATEST NEWS 
