Introduction Objective 1 Objective 2 Objective 3 Objective 4 Objective 5 Objecti

Question

Introduction Objective 1 Objective 2 Objective 3 Objective 4 Objective 5 Objective 4: Solve Counting Problems Involving Permutations with Nondistinct Items 5.5 Counting Techniques 0 of 1 Point 5.5.55 How many different 10-letter words (real or imaginary) can be formed from the following letters? x, o, Q, T, S, N, O, O, S, F ten-letter words (real or imaginary) can be formed with the given letters (Type a whole number) 3 Enter your answer in the answer box and then click Check Answer. All parts showing

Explanation / Answer

As we have total 10 letters:

X,O,Q,T,S,N,O,O,S,F

Where frequency of each is written as

X=1

O=3

Q=1

T=1

S=2

N=1

F=1

And so the ways in which they can be arranged = n!/(factorials of repeated characters)

=10!/(3!*2!) = 302400

So., we can form 302400 words out of these letters

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