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How Many Words Can Be Formed from the Letters of the Word 'Sunday'? How Many of These Begin with D? - Mathematics

How many words can be formed from the letters of the word 'SUNDAY'? How many of these begin with D?

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Solution

Total number of words that can be formed with the letters of the word SUNDAY = 6! = 720
Fixing the first letter as D:
Number of arrangements of the remaining 5 letters, taken 5 at a time = 5! = 120
Number of words with the starting letter D = 120

Concept: Factorial N (N!) Permutations and Combinations
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APPEARS IN

RD Sharma Class 11 Mathematics Textbook
Chapter 16 Permutations
Exercise 16.4 | Q 3 | Page 36
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