Question

one ordering of the letters T,U,V and W from left to right is U,T,V,W. what is the total number of orderings of these letters from left to right,including UTVW

Answer 1

The answer is 24
Hope I helped :)

Answer 2

Answer with explanation:

Total number of Letters = T,U, V and W.

As you have to write down total number of arrangement of four letters,T,U, V and W, taken all at a time

= As Order of Arrangement of Alphabets is Important , so we can apply the Concept of Permutation or Principal of Counting , applying any of these will give you same result.

  $= 4 ! \text{or}_{4}^{4}\textrm{P}=4 \times 3 \times 2 \times 1 \text{or}=\frac{4!}{(4-4)!}\\\\=24 \text{or} 4!=24$

→→Total number of orderings of these letters from left to right,including U T V W= 24 ways