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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

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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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