Percentage 67364

Create all four-digit numbers in which the digits 0, 2, 5, and 9 do not repeat.
A) How many such numbers are there? You solve using a tree diagram.
B) What percentage of them are even?

Correct answer:

a =  18
p =  55.5556 %

Step-by-step explanation:

$a=3\cdot 3\cdot 2\cdot 1=18$

$$\begin{gathered} XX{X}_0: \\ {b}_1=1\cdot 2\cdot 3\cdot 1=6 \\ YY{Y}_2 \\ {b}_2=2\cdot 2\cdot 1\cdot 1=4 \\ p=100\cdot \frac{b_1+b_2}{a}=100\cdot \frac{6+4}{18}=\frac{500}{9}\%=55.5556\% \end{gathered}$$

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