How many 5 digit numbers less than 47999 can be formed from the digits {1,2,3,4,5,6,7,8}, if repetition of the digits is allowed?

Answers

Answer 1

Answer: To determine the number of 5-digit numbers less than 47999 that can be formed from the given digits (1, 2, 3, 4, 5, 6, 7, 8), with repetition allowed, we can analyze each digit's possibilities.

For the first digit:
- The first digit can be any of the given digits (1, 2, 3, 4, 5, 6, 7, 8) except for 0, since we want the number to be less than 47999. So there are 8 options for the first digit.

For the remaining four digits:
- Each of these digits can be any of the given digits (0, 1, 2, 3, 4, 5, 6, 7, 8), since repetition is allowed. So there are 9 options for each of the remaining four digits.

Therefore, the total number of 5-digit numbers that can be formed is:
8 * 9 * 9 * 9 * 9 = 52,488

Related Questions

why do whole numbers raised to an exponent get greater while fractions raised to an exponent get smaller?
Jillian is selling boxes of cookies to raise money for her basketball team. The 10 oz. box costs $3.50, while the 16 oz. box costs $5.00. At the end of one week, she collected $97.50, selling a total of 24 boxes. The system of equations that models her sales is below. x+ y= 24 3.50x + 5.00y = 97.50 Solve the system of equations. How many 10 oz. boxes were sold? a. 6 b. 9 c. 12d. 15
Find the product of (4x + 3y)(4x − 3y).16x2 − 24xy + 9y2 16x2 − 9y2 16x2 + 24xy + 9y2 16x2 + 9y2
Each month, Angela budgets $1340 for fixed expenses, $850 for living expenses, and $60 for annual expenses. Her annual net income is $26,760. Whichsentence best describes her monthly budget a. it shows a deficit of $20 b. it shows a surplus of $20 c. it shows a deficit of $140 d. it is balanced
True or FalseThe segments shown below could form a triangle. A_________C is 6 C_____B is 5 B_____________A is 8

3x+8y=-1
-3x+y=-17

Solve with addition method and get the points for x and y

Answers

$3x+8y=-1 \n\underline{-3x+y=-17} \n8y+y=-1-17 \n9y=-18 \ny=(-18)/(9) \ny=-2 \n \n-3x+y=-17 \n-3x-2=-17 \n-3x=-17+2 \n-3x=-15 \nx=(-15)/(-3) \nx=5 \n \n\boxed{(x,y)=(5,-2)}$

$\left \{ {{3x+8y=-1} \atop {-3x+y=-14}} \right. \n+-------\nadd\ both\ equations\n\n9y=-15 \ \ \ | divide\ by\ 9\n\ny=-(15)/(9)=-(5)/(3)\n\n3x=-1-8y\ \ \| divide\ by\ 3\n\nx=(-1-8y)/(3)=(-1-8*(-(5)/(3)))/(3)=(-1+(40)/(3))/(3)=(37)/(3)*(1)/(3)=(37)/(3)$

Sasha solved an equation, as shown below:Step 1: 8x = 56
Step 2: x = 56 – 8
Step 3: x = 48

Part B: How many solutions does this equation have? (4 points)

Answers

corrections
8x=56
divide both side by 8
x=7

What is a fraction of a circle of 120 degree

Answers

Since the fraction of 120 at a circle is 120/360 which is 1/3

Simplify (x^2y)^3.
ASAP please

Answers

When you raise an exponent to an exponent, you multiply them
${x}^{ {(2y)}^(3) } = {x}^(2y * 3) = \boxed{ {x}^(6y) }$

Use the intercepts to graph the equation. -x+2y=4

Answers

Answer:

X-intercept: To find the x-intercept, set y to 0 and solve for x.

-x + 2(0) = 4

-x = 4

x = -4

So, the x-intercept is (-4, 0).

Y-intercept: To find the y-intercept, set x to 0 and solve for y.

-0 + 2y = 4

2y = 4

y = 4/2

y = 2

So, the y-intercept is (0, 2).

Step-by-step explanation:

Use the card collection box-and-whisker plot to solve. In which quarter are the data least concentrated?

A.first quarter

B.second quarter

C.third quarter

D.fourth quarter

Answers

The right answer for the question that is being asked and shown above is that: "B.second quarter." Use the card collection box-and-whisker plot to solve. In the second quarter that the data are at least concentrated.

Other Questions

Find the coordinates of the other endpoint when you are given the midpoint (point M) and one of the endpoints (point P). P = (3, 5) and M =(-2, 0)

Perpendicular Vectors:Find v x w if v=5i -4j +4k & w=-6i +3j -2k. A. 3i-4j-2k B. -14i-9j-4k C. 5i +3j -4k D. -4i -14j -9k Find v x w if v=-3i-4j-8k & w=2i+6j+4k. A. 12i -2j +3k B. 8i +12j +32k C. 32i -4j -10k D. 10 i -8j +3k Find the cross product <-6, 7, 2> x <8, 5, -3>. Is the resulting vector perpendicular to the given vectors? A. <-31,-2,-86>;yes B. <-37,-2,0>; no C. <0,-86,-37>; yes D. <-37, 0, -80>;no

How do you rename each additive inverse without parentheses -(2x+7)

At the veterinarian's office, 4 animals out of every 5 seen were cats. A total of 35 animals were seen.a. How many cats were seen?b. The ratio of male cats seen was 6:7. How many of the cats seen were males?