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Question

The number of arrangements that can be formed by taking all the letters left curly bracket stack bold T comma bold U with _ below comma bold E comma bold S comma bold D comma bold A comma bold Y right curly bracket is:

  1. 720
  2. 5040
  3. 120
  4. 40320

Hint:

Here we have to find the number of arrangements made from all the 7 letters of the word. So, we will use the formula P presuperscript n subscript r taken all at a time.

The correct answer is: 5040


    The number of arrangements that can be formed by taking all the letters left curly bracket stack bold T comma bold U with _ below comma bold E comma bold S comma bold D comma bold A comma bold Y right curly bracket = P presuperscript 7 subscript 7 equals fraction numerator 7 factorial over denominator left parenthesis 7 minus 7 right parenthesis factorial end fraction equals fraction numerator 5040 over denominator 0 factorial end fraction equals 5040 over 1 equals 5040

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