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Byju's Answer
Standard XII
Mathematics
Progression
How many word...
Question
How many words can be formed by taking 4 letters at a time from the letters of the word 'MORADABAD'?
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Solution
In
MORADABAD
total
letters
=
9
.
In
which
there
are
3
A
'
s
,
2
D
'
sand
4
different
letters
.
Case
-
1
:
No
.
of
words
formed
from
4
different
letters
,
C
4
6
×
4
!
=
15
×
24
=
360
Case
-
2
:
No
.
of
words
formed
from
2
alike
and
2
different
letters
,
=
C
1
2
×
C
2
5
×
4
!
2
!
=
2
×
10
×
12
=
240
Case
-
3
:
No
.
of
words
formed
from
3
alike
and
1
different
letters
,
=
1
×
C
1
5
×
4
!
3
!
=
5
×
4
=
20
Case
-
4
:
No
.
of
words
formed
from
2
alike
of
one
kind
and
2
alike
of
other
kind
,
=
C
2
2
×
4
!
2
!
×
2
!
=
1
×
6
=
6
So
number
of
required
words
=
360
+
240
+
20
+
6
=
626
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