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प्रश्न
Determine the number of arrangements of letters of the word ALGORITHM if O is the first and T is the last letter
बेरीज
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उत्तर
In the word 'ALGORITHM' the number of letters is n = 9.
O is the first and T is the last letter:
Here, two positions for 'O' and 'T' are fixed and the remaining 7 positions are left for the remaining 7 letters.
Hence, the total number of words in which they begin with 'O' and end with 'T' = 7P7 = 7!
= 7 × 6 × 5 × 4 × 3 × 2 × 1
= 5040
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