States that if there are n things, each with $n_1, n_2, \cdots, n_n$ ways to be done, each thing independent of the other, the number of ways they can be done is:

$N = n_1 \times n_2 \times \cdots \times n_n$

In this problem:

Since repetition is allowed, for the 3 letters, there are 26 outcomes, hence $n_1 = n_2 = n_3 = 26$ .

For the 3 numbers, there are 10 outcomes, hence $n_4 = n_5 = n_6 = 10$

Then:

$N = 26^3 \times 10^3 = 17576000$

17,576,000 different license plates can be manufactured.

To learn more about the fundamental counting theorem, you can take a look at brainly.com/question/24314866

5 0

1 year ago

A running track in the shape of an oval is shown. The ends of the track form semicircles. A running track is shown. The left and

Minchanka [31]

Two shapes.. a circle and a rectangle. The width of the rectangle serves as the diameter of the circle.

Length = 140 m ; Width = 68 m

Circumference of a circle = 2 π r
circumference of a cirlce = 2 * 3.14 * (68m/2) = 2 * 3.14 * 34 m = 213.52

length = 2 * 140 m = 280 m

perimeter of the oval = 213.52 m + 280 m = 493.52 m

5 0

2 years ago

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if he always online on messenger but take too long to respond to u or not at all, what does that mean ￼￼?

if he always online on messenger but take too long to respond to u or not at all, what does that mean ?