TCS
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Numerical Ability
Permutation and Combination
The letters in the word "PLACES" are permuted in all possible ways and arranged in the alphabetical order.Find the word at 48 position.
a)AESPCL
b)ALCEPS
c)ALSCEP
d)AESPLC
Read Solution (Total 10)
-
- ans = (d)
for words AC**** possible ways for arranging * will be 4!=24
now next seq in alphabatical order will be AE**** so....
same way for AE**** possible ways for arranging * will be 4!=24
..
..
Thus, 48th element will be last element in AE**** that means AE followd by reverse alphabatical order! which is AESPLC - 9 years agoHelpfull: Yes(38) No(6)
- it contain 6 letter 5 is sufficient to make 120 letter so A comes first if we palce C at second remaining 4 letter make 24 words now placed e as a second letter 24 letter made but in case of 48th letter it is worst case after AE remainig 4 letter is arrenged in revers order so answer is d) AESPLC
- 9 years agoHelpfull: Yes(6) No(0)
- d) AESPLC
AC_ _ _ _ 24
AEC_ _ _ 6
AEL_ _ _ 6
AEP _ _ _6
AESC_ _ 2
AESL__ 2
AESPCL 1
AESPLC 1
TOTAL=48
- 9 years agoHelpfull: Yes(6) No(1)
- AC....=4!=24
AE....=4!=24
24=24=48
so 48th word is starting with AE and then reverse the alphabetic order
AESPLC (d) - 9 years agoHelpfull: Yes(3) No(1)
- total alphabet is 6 that means total no. of words =720
in alphabetic order my word is "ACELPS".
we take 4 alphabet and can make 24 words.
at the last exchange E with C and make new 24 words.
answer is "AESPLC" - 9 years agoHelpfull: Yes(1) No(1)
- the answer is AESPLC
- 9 years agoHelpfull: Yes(1) No(2)
- Arranging in alphabetical order A, C, E, L, P, S
A _ _ _ _ _=5!=120(exceeding 48)
A C _ _ _ _=4!=24
A E _ _ _ _=4!=24 (the remaining 4 letters can be arranged in 4! ways)
24+24=48 (we get the required number)
48 is the last word then according to dictionary the word will be AESPLC - 5 years agoHelpfull: Yes(1) No(0)
- total alphabets are 6 that means no. of words=720
the answer is
d)AESPLE - 9 years agoHelpfull: Yes(0) No(9)
- option d.is corect
- 9 years agoHelpfull: Yes(0) No(3)
- PLACES=4!+4!
=48
first arranged alphabetical order
=acelps
ans=AESPLC - 8 years agoHelpfull: Yes(0) No(1)
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