License plates are made using 2 letters followed by 3 digits. how many plates can be made if repetition of letters and digits is allowed?
a.
100,000
c.
67,600
b.
676,000
d.
11,881,376

Answer with Step-by-step explanation:

License plates are made using 2 letters followed by 3 digits.

We have to find how many plates can be made if repetition of letters and digits is allowed.

There are 26 letters and 10 digits.

The choices for first place is 26  (any letter)

The choices for second place is 26  (any letter)

The choices for third place is 10  (any digit)

The choices for fourth place is 10  (any digit)

The choices for fifth place is 10  (any digit)

Hence, total choices for number plate=26×26×10×10×10

                                                             = 676000

Hence, the correct option is:

 b. 676,000

42

step-by-step explanation:

option 3 . (5x + 1) - (-10x + 6)

step-by-step explanation:

option 1 :

(4x + 3) + (-9x + 4)

or 4x+3 -9x + 4

or -5x + 7

option 2

(x - 2) - (6x - 9)

or x-2-6x + 9

or -5x + 7

option 3

(5x+ + 6)

or 5x + 1 + 10x -6

or 15x -5

option 4

-4x+2x+7-3x

-7x + 2x + 7

-5x + 7

hence only option 3 did   not satisfy the given simplify expression.