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Question
Find the number of ways so that letters of the word HISTORY can be arranged as end in ST
Solution
In the word 'HISTORY', the number of letters is n = 7.
Words end in ST:
Since the words end in ST, therefore we have to arrange only 5 positions from the remaining 5 letters.
This can be done in 5P5 ways.
Hence, the total number of words end in ST
= 5P5
= 5!
= 5 × 4 × 3 × 2 × 1
= 120
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