Correct answers only !
a student number system for a county requires that the student number be 5 characters. the first 3 characters are any single digit number, but no number can repeat and the last 2 characters must be letters, but no letter can repeat. how many unique student numbers are possible?
a. 1,370
b. 131,040
c. 250,000
d. 468,000

 D) 468,000

Step-by-step explanation:

1st character has 10 choices (numbers 0 - 9)

2nd character has 9 choice (numbers 0 - 9 excluding 1st number)

3rd character has 8 choices (numbers 0 - 9 excluding 1st & 2nd numbers)

4th character has 26 choices (A - Z)

5th character has 25 choices (A - Z excluding 4th character)

Multiply 1st & 2nd & 3rd & 4th & 5th characters

             10  ×   9   ×   8   ×  26 ×  25  = 468,000

3< x< 5

step-by-step explanation:

|x - 4| < 1

there are two solutions, one positive and one negative.   remember to flip the inequality when taking the negative solution

x-4 < 1       x-4 > -1

add 4 to each side

x-4+4 < 1+4       x-4+4 > -1+4

x< 5                 x> 3

3< x< 5

c

step-by-step explanation: