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Question
How many words, with or without meaning can be formed from the letters of the word 'MONDAY', assuming that no letter is repeated, if all letters are used at a time
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Solution
There are six letters in the word MONDAY.
All the letters are used at a time:
This can be done in 6C6 ways.
So, there are 6C6 groups containing six letters that can be arranged in \[6!\]ways.
∴ Number of ways =\[{}^6 C_6 \times 6! = 1 \times 720 = 720\]
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