Question

Fly the super spy is trying to unravel a secret 3 digit code. Fly knows that the first digit must be an even number, an the last must be an odd number. How many differnt combinatons of the threendigit code exist. ( Note; zeto is counted as an even number)

Answer 1

Answer:

250

Step-by-step explanation:

Given

$n =3$ --- digit code

$First = Even$

$Last=Odd$

Required

The different combination of codes

The set of even number is:

$Even = \{0,2,4,6,8\}$

The set of odd is:

$Odd = \{1,3,5,7,9\}$

This means that:

The first can be any of the 5 even digits

The last can be any of the 5 odd digits

Since there is no restriction in selection;

The $second$ can be $any$ of $the$ 10 digits

So, the possible combination (k) is:

$k =5 * 10 * 5$

$k =250$