two number of ways that all the letters of the word SWORD can be arranged in such a way that no letter is in its original position is:
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SWORD
This is simple question of derangement of 5 objects.
{S,W,O,R,D}
Formula for derangement of n objects is:
S=n! [1−11!+12!−13!+...]
HenceS=5![1−11!+12!−13!+14!−15!]=5!
[12!−13!+14−15!]
=120
[12−16+124−1120]
=60−20+5−1
=44 (ANSWER)
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Answer:
The letters of the word SWORD can be rearranged to get the word WORDS
Step-by-step explanation:
1.One can see what all words can be made by using the letters S W O R D.
2.Start from WORD, WORDS, SOW, ROD, ROW etc.
3. Here the only word possible is WORDS. Each letter of the otiginal word, SWORD is present and no letter is in its original position.
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