Two-digit numbers are formed, with replacement, form the digits 0 through 9. How many two-digit even numbers are possible?

Question
Discrete math
Two-digit numbers are formed, with replacement, form the digits 0 through 9.
How many two-digit even numbers are possible?

2020-12-02
There are 9 choices for the first digit since 9 cannot be the first digit. There are 5 choices for the second digit because even numbers end in 0, 2, 4, 6, or 8. By Fundamental Counting Principle, there are 9 = 45 possible two-digit even numbers.
45

Relevant Questions

Two-digit numbers are formed, with replacement, form the digits 0 through 9.
How many two-digit even numbers are possible?
A building code requires one square foot (sq ft) of net-free vent area (NFVA) for every 300 sq ft of attic space. How many square feet of NFVA are required for a $$\displaystyle{1620}-{s}{q}-{f}{t}$$ attic?
Subjects for the next presidential election poll are contacted using telephone numbers in which the last four digits are randomly selected (with replacement). Find the probability that for one such phone number, the last four digits include at least one 0.
Martha types a 4-digit code into a keypad to unlock her car doors. The code uses the numbers 1 and 0. If the digits are selected at random, what is the probability of getting a code with exactly three 0 s? Enter your answer as a simplified fraction. The probability of getting three 0 's is _____.
prove or disprove the product of two distinct irrational numbers is irrational
MODULAR ARITHMATICS
Find two numbers a and b bewen 50 and 100 saticfies these conditions:
-The greatest common divisor of a and b is $$\displaystyle{3}{\left({\gcd{{\left({a},{b}\right)}}}={3}\right)}$$
-The difference $$\displaystyle{b}-{a}\geq{25}$$
Preform Euclids algotirhm on these two numbers. Find whole numbers x and y such that $$\displaystyle{3}={a}{x}+{b}{y}$$
a. In how many ways can the letters in the word CARLETON be arranged so that it contains either CA or AC as sub-words?
The following problem is solved by using factors and multiples and features the strategies of guessing and checking and making an organized list.
Problem
A factory uses machines to sort cards into piles. On one occasion a machine operator obtained the following curious result.
When a box of cards was sorted into 7 equal groups, there were 6 cards left over, when the box of cards was sorted into 5 equal groups, there were 4 left over, and when it was sorted into 3 equal groups, there were 2 left.
If the machine cannot sort more than 200 cards at a time, how many cards were in the box?