Assuming that any arrangement of letters forms a word, how many words of any length can be formed from the letters of the word $^{'} S Q U A R E^{'}$ (No repetition of letters)

82

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720

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1956

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9331

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Solution

The correct option is C $1956$
SQUARE
Number of letters $= 6$
Number of single letter word $= 6$
Two letterd word $=^{6} P_{2}$
Three letterd word $=^{6} P_{3}$
Four lettered word $=^{6} P_{4}$
Five lettered word $=^{6} P_{5}$
Six lettered word $=^{6} P_{6}$
Total possible words
$= 6 + 30 + 120 + 360 + 720 + 720 = 1956$

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