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Reptile [31]
3 years ago
12

To use an automated teller machine at a certain​ bank, you must enter a 4​-digit ​code, using the digits 0 dash 9. How many 4​-d

igit codes are possible if repetition of digits is​ permitted?
Mathematics
1 answer:
oksian1 [2.3K]3 years ago
4 0

Answer:

100000 4-digit codes

Step-by-step explanation:

using the digits 0 dash 9, we want to pick 4 digits code.

The total number of digits available for us to pick from is 10(0 to 9 has 10 digits). We want to pick the 4 digits code and repetition is allowed. This is a case where we apply permutation with repetition. It is different when repetition is not allowed. It gives more possible outcomes than when repetition is not allowed. We will apply the formula, n^r

Where n is the total number of digits we want to choose from and it is equal to 10

r is the number of digits we can choose and it is equal to 4.

Number of possible 4 digit codes

= 10^4 = 100000

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A triangle has a perimeter of 165cm the first side is 65 cm less than twice the second side the third side is 10 cm less than th
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Answer:

The sides of the triangle are:

Second side = 60 cm

First side = 55 cm

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Step-by-step explanation:

Given:

Perimeter of triangle = 165 cm

First side = 65 cm less than twice the second side

Third side = 10 cm less than the second side

To find length of each side and write the equation that represents the perimeter of triangle.

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Let length of second side be = s cm

First side will be given as = (2s-65) cm

Third side will be given as =  (s-10) cm

Perimeter of triangle = Sum of all sides

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Adding 75 both sides.

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