मराठी

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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प्रश्न

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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उत्तर

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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Factorial N (N!) Permutations and Combinations
  या प्रश्नात किंवा उत्तरात काही त्रुटी आहे का?
पाठ 17: Combinations - Exercise 17.3 [पृष्ठ २३]

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आर.डी. शर्मा Mathematics [English] Class 11
पाठ 17 Combinations
Exercise 17.3 | Q 3.2 | पृष्ठ २३

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