Permutation and Combination - Quant/Math - CAT 2016
Question 4 the day:
May 20, 2003
The question for the day is from the topic Permutation and Combination.
Question:
- A team of 8 students goes on an excursion, in two cars, of which one can seat 5 and the other only 4. In how many ways can they travel?
(1) 9
(2) 26
(3) 126
(4) 3920
Correct Answer - (3)
Solution:
There are 8 students and the maximum capacity of the cars together is 9.
We may divide the 8 students as follows
Case I: 5 students in the first car and 3 in the second
Or Case II: 4 students in the first car and 4 in the second
Hence, in Case I: 8 students are divided into groups of 5 and 3 in 8C3 ways.
Similarly, in Case II: 8 students are divided into two groups of 4 and 4 in 8C4 ways.
Therefore, the total number of ways in which 8 students can travel is 8C3 + 8C4 = 56 + 70 = 126.
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
| Staying outside India? |
|
Ascent offers CAT Correspondence Course for those who reside abroad. 
|
|
| GMAT Math eBook Series |
|
GMAT Math eBooks series on high scoring topics such as permutation combination, number theory, geometry.
US$ 6.99.
|
|
|
LATEST NEWS 
