Question

Suppose you form 5-letter strings from the letters C,O,M,P,U,T,I,N, and G.

Answer 1

9/4

Explanation:

Base on the given info we first have to use:

∴ Permutation formula ∴

`\mathrm{_np_r=(n!)/((n-r)!)}`

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:

`N=P_(_9_,_5_)=(9!)/((9-5)!)=(9!)/(4!)`

Thus, the answer is 9/4

Kavinsky