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mojhsa [17]
3 years ago
7

Michael is choosing a 2 letter password from the letters A, B, C, D, E, AND F. The password cannot have the same letter repeated

in it. How many such passwords are possible?
Mathematics
2 answers:
notka56 [123]3 years ago
4 0
6 possibilities for the first letter, 5 possibilities for the second letter:
combinations = 6·5 = 30

d1i1m1o1n [39]3 years ago
3 0

Answer: 30

Step-by-step explanation:

Since, Total number of letter = 6 ( A, B, C, D, E, F)

And, according to the question we have to choose a 2 digit number.

But, there is no repetition of letter  is not allowed.

So, the total possible password = P(5,2) = 6_P_2 = \frac{6!}{(6-2)!}= \frac{6!}{4!}=\frac{6\times 5\times 4!}{4!} = 30

Thus, Required possible password = 30.


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Answer:

5

Step-by-step explanation:

Do the multiplication first:  3 - (-2) becomes 3 + 2.

Thus,

3-(-2) = 5

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3 years ago
How do I solve x in a triangle
Sindrei [870]

All three sides always add up to 360 so add the given measures and subtract it from 360 and that would give you your answer.

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A bedroom has a length of x + 6 feet and a width of x feet. Find the area of the bedroom, y, when x = 12.
Juliette [100K]
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Evaluate, when x=2 y=-5 and z=3
gregori [183]

Answer:

-139

Step-by-step explanation:

Evaluate 1/4 (4 x^3 - 2 y - 2 z^3) y^2 - 16 x^2 where x = 2, y = -5 and z = 3:

(4 x^3 - 2 y - 2 z^3)/4 y^2 - 16 x^2 = (4×2^3 - -5×2 - 2×3^3)/4×(-5)^2 - 16×2^2

(4×2^3 - 2 (-5) - 2×3^3)/4×(-5)^2 = ((4×2^3 - 2 (-5) - 2×3^3) (-5)^2)/4:

((4×2^3 - 2 (-5) - 2×3^3) (-5)^2)/4 - 16×2^2

(-5)^2 = 25:

((4×2^3 - 2 (-5) - 2×3^3) 25)/4 - 16×2^2

2^3 = 2×2^2:

((4×2×2^2 - 2 (-5) - 2×3^3) 25)/4 - 16×2^2

2^2 = 4:

((4×2×4 - 2 (-5) - 2×3^3) 25)/4 - 16×2^2

2×4 = 8:

((4×8 - 2 (-5) - 2×3^3) 25)/4 - 16×2^2

3^3 = 3×3^2:

((4×8 - 2 (-5) - 23×3^2) 25)/4 - 16×2^2

3^2 = 9:

((4×8 - 2 (-5) - 2×3×9) 25)/4 - 16×2^2

3×9 = 27:

((4×8 - 2 (-5) - 227) 25)/4 - 16×2^2

4×8 = 32:

((32 - 2 (-5) - 2×27) 25)/4 - 16×2^2

-2 (-5) = 10:

((32 + 10 - 2×27) 25)/4 - 16×2^2

-2×27 = -54:

((32 + 10 + -54) 25)/4 - 16×2^2

| 3 | 2

+ | 1 | 0

| 4 | 2:

(42 - 54 25)/4 - 16×2^2

42 - 54 = -(54 - 42):

(-(54 - 42) 25)/4 - 16×2^2

| 5 | 4

- | 4 | 2

| 1 | 2:

(-12×25)/4 - 16×2^2

(-12)/4 = (4 (-3))/4 = -3:

-3×25 - 16×2^2

2^2 = 4:

-3×25 - 164

-3×25 = -75:

-75 - 16×4

-16×4 = -64:

-64 - 75

-75 - 64 = -(75 + 64):

-(75 + 64)

| 7 | 5

+ | 6 | 4

1 | 3 | 9:

Answer:  -139

8 0
3 years ago
A square based prism and a cylinder both have
Anna11 [10]

Answer:

Parameter of base = 70.88 inch (Approx.)

Step-by-step explanation:

Given:

Volume of cylinder = 3768 cubic inch

Height of Prism = 12 inch

Find;

Parameter of base

Computation:

Volume of cylinder = Volume of Prism

3768 = (L)(B)(H)

3768 = (L)(B)(12)

(L)(B) = 314

L = B

So.

L = 17.72 inch

B = 17.72 inch

Parameter of base = 2[l+b]

Parameter of base = 2[17.72 + 17.72]

Parameter of base = 70.88 inch (Approx.)

8 0
3 years ago
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