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Byju's Answer
Standard X
Mathematics
Probability
The number of...
Question
The number of letter words formed using letters of word ''CALCULUS'' is
A
5040
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B
1540
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C
1110
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D
56
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Solution
The correct option is
A
5040
Therefore
,
total number of word
′
C
A
L
C
U
L
U
S
′
=
8
So
8
!
(
2
!
×
2
!
×
2
!
)
8
×
7
×
6
×
5
×
4
×
3
×
2
×
1
2
×
2
×
2
=
7
×
6
×
5
×
4
×
3
×
2
×
1
=
5040
So, total of
5040
words can be formed from the letters of the word
′
C
A
L
C
U
L
U
S
′
Hence,
option
(
A
)
is correct answer.
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