How many eight letter words can be formed from the letters of the word “COURTESY” beginning with C and ending with Y ? 

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NIELIT Scientific Assistant ECE 5 Dec 2021 Official Paper
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  1. 120 
  2. 720 
  3. 256 
  4. 750

Answer (Detailed Solution Below)

Option 2 : 720 
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Detailed Solution

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Given:

Letters in "COURTESY": C, O, U, R, T, E, S, Y

The word must start with C and end with Y.

Formula used:

\(P = 6!\) , where 6! represents the arrangement of the remaining 6 letters between C and Y.

Calculations:

The first and last letters are fixed as C and Y, leaving 6 letters (O, U, R, T, E, S) to be arranged.

\(P = 6!\)

⇒ 6! = 6 × 5 × 4 × 3 × 2 × 1 = 720

∴ The correct answer is 720.

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