The number of word that can be formed out of the letters of the word BOTSWANA is?
- 8!
- 2!
- 8!.2!
- 8!/2!
Explanation
The word BOTSWANA has 8 letters, but it has two repeated letters (two S's and two A's).
To find the total number of words that can be formed, we need to divide the total number of permutations (8!) by the number of repetitions (2! for each pair of repeated letters).
So, the correct calculation is:
8! / (2! × 2!)
= 40320 / (2 × 2) = 40320 / 4 = 10080
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