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Umnica [9.8K]
4 years ago
14

The door on the computer center has a lock which has five buttons numbered from 1 to 5. The combination of numbers that opens th

e lock is a sequence of five numbers and is reset every week.
(a) How many combinations are possible if every button must be used once?
(b) Assume that the lock can also have combinations that require you to push two buttons simultaneously and then the other three one at a time. How many more combinations does this permit?
Mathematics
1 answer:
gladu [14]4 years ago
7 0

Answer:

a) 121 combinations

b) 124 combinations

Step-by-step explanation:

a) 5 possible number without repeating any will give us =

5 possible numbers* 4 possible numbers* 3 possible numbers* 2possible numbers + 1 possible numbers = 121 combination

b) 5 possible number but repeating 1 will give us 5 possible numbers* 4 possible numbers * 3 possible numbers* 2possible numbers

+4 possible number

124 combination

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Dima020 [189]

Answer:

18

Step-by-step explanation:

There are 6 dots.  The number of ways we can select 3 from 6 is:

₆C₃ = 6! / (3! (6−3)!)

₆C₃ = 6! / (3! 3!)

₆C₃ = 6×5×4 / (3×2×1)

₆C₃ = 20

However, 2 of these combinations are lines, not triangles.

So there are 18 possible distinct triangles.

4 0
3 years ago
A set of equations is given below: Equation A: y = 2x + 8 Equation B: -4x + 2y = 16 Which of the following options is true about
jolli1 [7]

Solution:

<u>Step-1: Convert Equation B into slope intercept form.</u>

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<u>Step-2: Compare both equations to make a conclusion.</u>

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Since both equations are the same, we can make a conclusion that both equations have infinite solutions.

8 0
2 years ago
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ivann1987 [24]

Answer:

and? What about Jade's garden?

Step-by-step explanation:

3 0
3 years ago
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Your school counselor has given you clear directions that you and your best friend should not be seen within 240 feet of each ot
FrozenT [24]

Answer:

1. 80 yd

2. 10 and 10 of the other side

3. yes

Step-by-step explanation:

1. As we were asked to stay 240 feet away, and we will be on a soccer field and it has marked distances in yards we just have to pass our feet to yards.

1 ft = 1/3 yd

240 ft = 240/3 yd

240 ft =  80 yd

2. one would have to stand in yard 10 and the other in yard 10 but from the other side of the field

50-10 = 40

40 + 40 = 80 yd

3.  

if they are diagonally the distance will be greater than 80, since the yards are parallel, because only the distance would remain only if they are on the same height

5 0
3 years ago
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Molodets [167]

Answer:

13

Step-by-step explanation:

   13

2/35

  2  {

------{-

 1  5

 1  5

----------

     0

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3 years ago
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