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Class 12 Tuition > Learn Class XI-XII Tuition (PUC) > The number of different words which can be formed by...
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The number of different words which can be formed by taking 4 letters at a time from the word EXPRESSION?

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CBSE Maths for Science stream

There are 10 letters of which there are 2 E, 2 S and 6 single letters XPRION. We can form 4 letters in following ways. 1. Words formed by two double letters i.e. EESS. This will give 4! / (2! 2!) = 6 words 2. Words formed by EE followed by two letters out of SXPRION - 7C2 combinations No. of...
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There are 10 letters of which there are 2 E, 2 S and 6 single letters XPRION. We can form 4 letters in following ways. 1. Words formed by two double letters i.e. EESS. This will give 4! / (2! 2!) = 6 words 2. Words formed by EE followed by two letters out of SXPRION - 7C2 combinations No. of words = 7C2 x (4! / 2!) = 21 x 12 = 252 3. Words formed by SS followed by two letters out of EXPRION - 7C2 combinations No. of words = 7C2 x (4! / 2!) = 21 x 12 = 252 4. Words formed by 4 out of 8 single letters i.e. ESXPRION No of words = 8P4 = 8 x 7 x 6 x 5 = 1680 words Total no. of words = 6 + 252 + 252 + 1680 = 2190 read less
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Trainer

8p4
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Aptitude for Placement, Bank, B. Tech Subjects, M. Tech subjects and Projects (ECE, CSE, IT, EEE), Net for ELectronics

fact11/
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I'm a 3rd year student of Electronics & telecommunication engineering From Indira college of engineering & management.

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Home Tutor

sir it should be 10 P 4 /2! 2! =1260
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Physics player

6180
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Physics player

sorry ans is 1680 8*7*6*5 if repetition not allowed
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SENIOR FACULTY ACADEMIC DIRECTOR PG

2190
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Dear G, I agree with the partitioning concept and what you have said is correct. Also, there is yet another way, as is often the case with mathematics, which is rather elementary, based on counting...
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