Multiple choice

How many different words beginning with $O$ and ending with $E$ can be formed with the letters of the word $'ORDINATE'$?

  1. $8!$
  2. $6!$
  3. $7!$
  4. $\dfrac{7!}{2}$
Reveal answer Fill a bubble to check yourself
B Correct answer
Explanation

ORDINATE has 8 letters. O and E are fixed at ends. Remaining letters are R, D, I, N, A, T (6 letters). They can be arranged in 6! ways.

AI explanation

The word ORDINATE has 8 letters, and the first and last positions are fixed as O and E. This leaves 6 letters (R, D, I, N, A, T) to be arranged in the 6 middle positions. The number of ways to arrange these 6 distinct letters is 6P6 = 6 factorial.

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