2. The number of words that can be made by writing down the letters of the word 'CALCULATE' such that each
word starts and ends with a consonant, is
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32 words can be made from calculate which starts with consonant......
Answered by
10
C C=2
A A=2
L
U
T
E
Case1
□□□□□□□□□
C T
or
Case2
Reverse start with T and end with C
Now,
Each case 7!/2!×2!
(2! for two C and 2! for two A)
There will two possibility case 1 and case2
Therefore = 2×7!/2!×2!
=7×6×5×4×3=42×60=2520
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IITB:
and is (5/2)7!=12600
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