Permutation and Combination  Quant/Math  CAT 2016
Question 4 the day:
September 08, 2003
The question for the day is from the topic Permutation and Combination.
Question:
 If the letters of the word CHASM are rearranged to form 5 letter words such that none of the word repeat and the results arranged in ascending order as in a dictionary what is the rank of the word CHASM?
(1) 24
(2) 31
(3) 32
(4) 30
Correct Answer  (3)
Solution:
The 5 letter word can be rearranged in 5! Ways = 120 without any of the letters repeating.
The first 24 of these words will start with A.
Then the 25th word will start will CA _ _ _. The remaining 3 letters can be rearranged in 3! Ways = 6. i.e. 6 words exist that start with CA.
The next word starts with CH and then A, i.e., CHA _ _. The first of the words will be CHAMS. The next word will be CHASM.
Therefore, the rank of CHASM will be 24 + 6 + 2 = 32.
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
GMAT Math Books 

Comprehensive study material for GMAT Quant. 1800+ questions.


Staying outside India? 

Ascent offers CAT Correspondence Course for those who reside abroad.


