Respuesta :

Answer:

9/4

Step-by-step explanation:

Base on the given info we first have to use:

∴  Permutation formula ∴

[tex]\mathrm{_np_r=\frac{n!}{(n-r)!}}[/tex]

P   =     permutation

n = total number of objects

r = number of objects selected

Note that:
Order of which the letters are chosen is important.

Permutation Formula is which possible permutations of x elements from a set of n elements is given by.

From the given it states that five letters will be chosen from a set of nine.

Thus, now we have:

[tex]N=P_(_9_,_5_)=\frac{9!}{(9-5)!}=\frac{9!}{4!}[/tex]

Thus, the answer is 9/4

Kavinsky