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Brums [2.3K]
3 years ago
14

Using 5 letters followed by 2 ​digits, how many passwords are​ possible?

Mathematics
1 answer:
Deffense [45]3 years ago
6 0
Since there is no condition whatsoever for this arrangement, I can consider the 2 digits and the 5 letters as 7 different objects.

Total permutation (with no repetition):
7 chosen among 7 , that is 7 ! = 5040 arrangements

Total permutation (WITH REPERTITION):

7⁷ = 823 543

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QUESTION 10
adelina 88 [10]

Answer:

Step-by-step explanation:

A = L * W

A = 22

L = 2x + 1

W = 3x + 1

now we sub

22 = (2x + 1)(3x + 1)

22 = 6x^2 + 2x + 3x + 1

22 = 6x^2 + 5x + 1

6x^2 + 5x + 1 - 22 = 0

6x^2 + 5x - 21 = 0 <======part A

(3x + 7)(2x - 3) = 0

3x + 7 = 0          2x - 3 = 0

3x = -7               2x = 3

x = -7/3              x = 3/2

I believe that x = -7/3 is an extraneous solution because when u plug it into ur length and width u get a negative number....and I dont think the sides of ur rectangle have negative values, however, it does work in ur equation and it equals 22 when multiplied...so I am not 100% sure

length = 2x + 1.......2(3/2) + 1........3 + 1 = 4

width = 3x + 1......3(3/2) + 1......9/2 + 1......9/2 + 2/2 = 11/2 (or 5.5) meters <===

6 0
3 years ago
Health club a charges 100.00 membership fee plus 25.00 per plus 25.00 per month
Snowcat [4.5K]

Answer:

Month 5 the cost will be the same

Step-by-step explanation:

Make to equations from the given information

Let y be the cost, and let x be the number of months

Club A:  y = 25x + 100

Club B:  y = 20x + 200

It wants to know when the cost will be the same, so set the 2 equations equal to each other and solve..

25x + 100 = 20x + 200

5x = 100              (subtract 20x and 100 from both sides)

  x = 20                (divide both sides by 5)

So after 5 months the cost will be equal,

5 0
3 years ago
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Asia have cooked 7 kg of mashed potatoes for A dinner party it’s a gues A dinner party if the guest only ate 3/4 of them out he
andre [41]

Answer:

5.25

Step-by-step explanation:


7 0
3 years ago
Given: AB = DC, AC = DB
oee [108]

Answer:

SSS Postulate

Step-by-step explanation:

AB=CD (Given)

AC=BD (Given)

BC=BC (Given)

So SSS Postulate

Side Side Side postulate

6 0
1 year ago
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