Solve the problem.
-How many different 11-letter words (real or imaginary) can be formed from the letters in the word ENGINEERING?
A) 39,916,800
B) 554,400
C) 25,200
D) 277,200

Question

Quizplus · Accepted Answer

The word ENGINEERING has 11 letters in total, with the following repetitions: E appears 3 times, N appears 3 times, G appears 2 times, and I appears 2 times. The formula for permutations of a multiset is n! / (n1! * n2! * ... * nk!), where n is the total number of items, and n1, n2, ..., nk are the counts of each repeated item. Applying this formula, we get 11! / (3! * 3! * 2! * 2!) = 277,200.

Solve the Problem. -How Many Different 11-Letter Words (Real or Imaginary) Can Be