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Quantitative Aptitude
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How many word...
Question
How many words can be made out from the letters of the word INDEPENDENCE. in which vowels always come together
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Solution
Dear student,
I
n
w
o
r
d
I
N
D
E
P
E
N
D
E
N
C
E
,
T
h
e
r
e
a
r
e
12
l
e
t
t
e
r
s
a
r
e
t
h
e
r
e
.
O
u
t
o
f
12
l
e
t
t
e
r
s
7
a
r
e
c
o
n
s
o
n
a
n
t
s
a
n
d
5
v
o
w
e
l
s
a
r
e
t
h
e
r
e
.
I
f
a
l
l
v
o
w
e
l
s
w
i
l
l
c
o
m
e
t
o
g
e
t
h
e
r
,
t
h
e
n
w
e
w
i
l
l
c
o
n
s
i
d
e
r
a
l
l
v
o
w
e
l
s
a
s
1
l
e
t
t
e
r
.
S
o
n
o
w
t
h
e
r
e
w
i
l
l
b
e
t
o
t
a
l
7
+
1
=
8
l
e
t
t
e
r
s
N
o
w
t
h
e
r
e
a
r
e
t
w
o
D
,
t
h
r
e
e
N
,
o
n
e
P
,
a
n
d
o
n
e
C
a
n
d
o
n
e
s
e
t
o
f
v
o
w
e
l
s
S
o
t
o
t
a
l
n
u
m
b
e
r
s
o
f
w
o
r
d
s
p
o
s
s
i
b
l
e
b
y
t
a
k
i
n
g
a
l
l
t
h
e
s
e
8
c
h
a
r
a
c
t
e
r
s
=
8
!
2
!
×
3
!
×
1
!
×
1
!
×
1
!
=
8
!
3
!
×
2
!
N
o
w
c
o
m
i
n
g
t
o
t
h
e
v
o
w
e
l
s
p
a
r
t
,
t
h
e
r
e
a
r
e
f
o
u
r
E
a
n
d
o
n
e
I
.
S
o
t
h
e
n
u
m
b
e
r
s
o
f
w
o
r
d
s
p
o
s
s
i
b
l
e
b
y
t
a
k
i
n
g
a
l
l
t
h
e
s
e
v
o
w
e
l
s
=
5
!
4
!
×
1
!
=
5
!
4
!
S
o
t
h
e
t
o
t
a
l
n
u
m
b
e
r
o
f
p
o
s
s
i
b
l
e
w
o
r
d
s
b
y
t
a
k
i
n
g
l
e
t
t
e
r
s
o
f
I
N
D
E
P
E
N
D
E
N
C
E
=
8
!
3
!
×
2
!
×
5
!
4
!
=
(
8
×
7
×
6
×
5
×
4
×
3
!
)
×
(
5
×
4
!
)
3
!
×
4
!
×
2
=
16800
Regards,
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