How many 10 letter words can be formed from the letters in the word SUDO PLACEMENT, starting with S, ending with T and space after the first four characters(repetition is not allowed)?
(A) 1 ,814,400
(B) 3, 628, 800
(C) 108
(D) 810
Answer: (A)
Explanation: Here, repetition of digits are not allowed.
So, distinct letters present in SUDO PLACEMENT are 12.
Total possible combinations are :-
S _ _ _ _ _ _ _ _ T
10 9 8 7 6 5 4 3
First and last letters are fixed so rest places can be filled in the above shown ways.
Total combination possible is 10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 = 10! / 2! = 1 ,814,400
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