Question
Mathematics Question on permutations and combinations
If all permutations of the letters of the word MASK are arranged in the order as in dictionary with or without meaning, which one of the following is 19th word ?
A
KAMS
B
AKMS
C
SAMK
D
AMSK
Answer
SAMK
Explanation
Solution
To find the 19th word in the dictionary order of all permutations of the letters in the word "MASK," we need to arrange the letters in alphabetical order and determine the word at the 19th position.
The alphabetical order of the permutations is as follows:
AKMS
AMSK
KAMS
KASM
KSAM
KSMA
MAKR
MARK
MASK
MKAS
MKSA
MSKA
MSKA
SAMK
SAKM
SKAM
SKMA
SMKA
Therefore, the 19th word in alphabetical order is "SAMK" (option C).