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QJEEM20Ma2a65: JEE Main 2020 Mathematics - Class 11 JEEM20Ma2a65 Solution: The number of words, with or without meaning, that can be…
The number of words, with or without meaning, that can be formed by taking 4 letters at a time from the letters of the word ’SYLLABUS’ such that two letters are distinct and two letters are alike, is :
Step-by-Step Verified Solution
In 'SYLLABUS' word
1. Two S letters
2. Two L letters
3. One Y letter
4. One A letter
5. One B letter
6. One U letter
Number of ways we can select two alike letters = 2C1
Then number of ways we can select two distinct letters = 5C2
Then total arrangement of selected letters =
So total number of words, with or without meaning, that can be formed
= 2C1 5C2 = 240
1. Two S letters
2. Two L letters
3. One Y letter
4. One A letter
5. One B letter
6. One U letter
Number of ways we can select two alike letters = 2C1
Then number of ways we can select two distinct letters = 5C2
Then total arrangement of selected letters =
So total number of words, with or without meaning, that can be formed
= 2C1 5C2 = 240