Aptitude Test
Exam
Numerical Ability
Permutation and Combination
If we permute 6 Letters of the word 'SYSTEM', the number of permute words with a vowel at the third place are:
a) 720
b)120
c)60
d)24
Read Solution (Total 4)
-
- totally 6 letters
third place vowel means only one vowel(E) in SYSTEM i.e E is fixed nor 5 letters are remaining to take 5 places although S is repeated 2 times so answer is
5!/2 = 60 - 5 years agoHelpfull: Yes(3) No(0)
- totally 6 letters
third place vowel means only one vowel(E) in SYSTEM
so,we have 5 letter combination
ans=5!=720 - 6 years agoHelpfull: Yes(0) No(2)
- total 6 letters in a given word
here only 1 vowel is available
so we have 5 letters=5!=120 - 5 years agoHelpfull: Yes(0) No(3)
- 60
As there are two S in system and E is fixed at 3rd place,
so required combinations are
5!/2!=120/2=60 - 3 years agoHelpfull: Yes(0) No(0)
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