Correct answers only ! if you don't know the answer, then don't guess or say what you think it is.
given a student number system for a county requires that the student number be 6 characters.
the first 4 characters are any single digit number but no character can repeat and the last two characters must be a letter and letters cannot be the same. how many unique student numbers are possible?
a. 6,500,000
b. 3,276,000
c. 3,407,040
d. 6,760,000

B. 3,276,000

Step-by-step explanation:

Given : A student number system for a county requires that the student number be 6 characters.

Number of digits (0,1,2,3,4,5,6,7,8,9)=10

Number of letters in English alphabet = 26

When repetition of things is not allowed then we use Permutations.

Number of permutations of m things taking n at a time =

Similarly, Number of permutations of 10 numbers taking 4 at a time :

Number of permutations of 26 letters taking 2 at a time :

Now, the possible number of numbers can be make =

Hence, the correct answer is options (b).

i think it is c, not positive though

step-by-step explanation:

simplifying

5(x + -6) = 2(x + 3)

reorder the terms:

5(-6 + x) = 2(x + 3)

(-6 * 5 + x * 5) = 2(x + 3)

(-30 + 5x) = 2(x + 3)

reorder the terms:

-30 + 5x = 2(3 + x)

-30 + 5x = (3 * 2 + x * 2)

-30 + 5x = (6 + 2x)

solving

-30 + 5x = 6 + 2x

solving for variable 'x'.

move all terms containing x to the left, all other terms to the right.

add '-2x' to each side of the equation.

-30 + 5x + -2x = 6 + 2x + -2x

combine like terms: 5x + -2x = 3x

-30 + 3x = 6 + 2x + -2x

combine like terms: 2x + -2x = 0

-30 + 3x = 6 + 0

-30 + 3x = 6

add '30' to each side of the equation.

-30 + 30 + 3x = 6 + 30

combine like terms: -30 + 30 = 0

0 + 3x = 6 + 30

3x = 6 + 30

combine like terms: 6 + 30 = 36

3x = 36

divide each side by '3'.

x = 12

simplifying

x = 12

this should .