Maths-
General
Easy

Question

Number of ways to rearrange the letters of the word CHEESE is

  1. 100    
  2. 115    
  3. 119    
  4. 120    

hintHint:

Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind

The correct answer is: 119


    The letter CHEESE contains 3 E's
    Thus, Total number of arrangements of the letters of the word CHEESE = Number of arrangements of 6 things taken all at a time, of which 3 are of one kind = fraction numerator 6 factorial over denominator 3 factorial end fraction space equals space 120

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