1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Shkiper50 [21]
3 years ago
12

How many even 5-digit numbers can be formed from the numbers 1, 2, 4, 7, 8 if no digit is repeated in a number? A. 72 B. 120 C.

124 D. 128
Mathematics
1 answer:
katovenus [111]3 years ago
7 0
Hello,

Let's place the last digit: it must be 2 or 4 or 8 (3 possibilities)

It remainds 4 digits and the number of permutations fo 4 numbers is 4!=4*3*2*1=24

Thus there are 3*24=72 possibilities.

Answer A

If you do'nt believe run this programm

DIM n(5) AS INTEGER, i1 AS INTEGER, i2 AS INTEGER, i3 AS INTEGER, i4 AS INTEGER, i5 AS INTEGER, nb AS LONG, tot AS LONG
tot = 0
n(1) = 1
n(2) = 2
n(3) = 4
n(4) = 7
n(5) = 8
FOR i1 = 1 TO 5
    FOR i2 = 1 TO 5
        IF i2 <> i1 THEN
            FOR i3 = 1 TO 5
                IF i3 <> i2 AND i3 <> i1 THEN
                    FOR i4 = 1 TO 5
                        IF i4 <> i3 AND i4 <> i2 AND i4 <> i1 THEN
                            FOR i5 = 1 TO 5
                                IF i5 <> i4 AND i5 <> i3 AND i5 <> i2 AND i5 <> i1 THEN
                                    nb = ((((n(i1) * 10) + n(i2)) * 10 + n(i3)) * 10 + n(i4)) * 10 + n(i5)
                                    IF nb MOD 2 = 0 THEN
                                        tot = tot + 1
                                    END IF
                                END IF
                            NEXT i5
                        END IF
                    NEXT i4
                END IF
            NEXT i3
        END IF
    NEXT i2
NEXT i1
PRINT "tot="; tot
END


You might be interested in
What is a reasonable distance between two cities?
deff fn [24]
I don't know the exact calculation but...maybe about 56,789 miles? based on that between Syracuse to California is 9,345 miles but...it depends on witch two cites you're talking about
8 0
3 years ago
Then the chef decides to make more than 1 batch of the recipe.
tiny-mole [99]

Answer:

4 batches

Step-by-step explanation:

1 batch requires 3 cups apples and 1 cup blackberries

1 batch has (3+1) = 4 cups total of apples and blackberries

We use 16 cups of apples and blackberries

16/4 = 4

So we are multiplying by 4

That means 1batch*4 = 4 batches

7 0
3 years ago
Given that cos theta = -12/13 and theta is in the second quadrant, find this function. sin theta=​
elena-14-01-66 [18.8K]
5/13

The x value is negative (second quadrant). 13 is the hypotenuse. So the missing side is 13^2 = (-12)^2 + y^2.

Sin theta is the opposite (5) over hypotenuse (13).
3 0
3 years ago
When modeling hourly pay, which part of the equation is used to represent the<br> hourly rate?
lesantik [10]

Answer:

y = mx + b

Step-by-step explanation:

The reason is,  x is always the hour, and m is the amount of money you earn in the hours.

3 0
3 years ago
Which situation could the expression 1/4 ÷ 3 represent?
adoni [48]

Answer:

see the procedure

Step-by-step explanation:

The situation could be

Alice needs to divide 1/4 pound of meat into three equal parts. What is the weight of each part?

so

Divide 1/4 by 3

\frac{(1/4)}{3}=\frac{1}{12}\ pounds

The weight of each part is \frac{1}{12}\ pounds

8 0
3 years ago
Other questions:
  • With regard to a​ regression-based forecast, the standard error of the estimate gives a measure of A. the variability around the
    15·1 answer
  • Suppose there is a coordinate (−1,√3) at the end of a terminal arm and ߠ represents the angle
    15·1 answer
  • Simplify the expression . 39*x / 13
    8·2 answers
  • Find the area of the parallelogram WILL GIVE BRAINLIEST FOR A LITTLE WORK SHOWN!
    6·2 answers
  • 1.A pedestrian crosswalk consists of black and white strips each 0.4m wide. The crosswalk begins and ends with a white strip, an
    5·1 answer
  • Please hurry!! given AJKL : AXYZ, find x.
    5·1 answer
  • A car moves at a speed of 30m/s to the west for 3hr. What is the displacement of the car in km?<br>​
    7·1 answer
  • 30. Joanne has a number of 10c coins and $1 coins in her purse, worth a total value of $6.60. She has one more than three times
    9·1 answer
  • . solve it I will mark u as brilliant​
    5·1 answer
  • Select the recursive and explicit formula for the Arnold family 2 answers
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!