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xxTIMURxx [149]
3 years ago
6

How many different ways can the students at a school select the president, vice president and secretary from a group of 5?

Mathematics
2 answers:
ollegr [7]3 years ago
8 0

 

P(5,3) .... or 5P3 if your textbook likes it that way ... = (5)(4)(3) = 60 ways.  

If you don't know about the permutation counting function, P(n,k) is the number of ways to pick k out of n different items, where order matters.  

P(n,k) = n(n-1)(n-2)...(n+1-k)  

It's easier to write with factorials, with P(n,k) = n!/k!, but the above is easier to compute most of the time.  

Without that, you can still solve with common sense. There are 5 ways to pick the president. For each of those, there are 4 choices left for vice president, and for each of those there are 3 choices left for secretary. 5*4*3 =

60 total

sattari [20]3 years ago
4 0
Answer: 60 ways.
Explanation: Suppose that we had 5 people, A, B, C, D, and E, and we had to select a P, VP, and S.

For the President, we have 5 different selections.
If we choose a president, then we can only pick 1 from 4 people for the VP.
Using the same logic, we'd have 3 different choices for the S.

Hence, we have 5 · 4 · 3 different ways.

Alternatively, this is:

\frac{5!}{(5 - 3)!} = ^{5}P_3 different ways.
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butalik [34]

Answer:

(x, y) = (-1, 1)

Step-by-step explanation:

8x + y = −7

for y = 1

8x + 1 = -7

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8x = -8

divide bot sides by 8

x = -1

(x, y) = (-1, 1)

7 0
3 years ago
20 points helppppp which pair shows equivilent fractions
skelet666 [1.2K]

Answer:

Third

Step-by-step explanation:

First would be, simplified, 2x+10=2x-10

Second, simplified, -2x-10=2x-10

Third, simplified, -2x-10=-2x-10

Fourth, simplified, -2x+10=2x-10

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hope this helps :D

4 0
3 years ago
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En 6 - 2x = 6x - 10x + 8 .​
Semmy [17]

Step-by-step explanation:

6-2x=6x-10x+8

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6 0
3 years ago
A group of tourists can be sorted into tour boats in groups of 4 or in groups of 6. In either case, there are no empty seats. Fi
Jobisdone [24]

Answer: there are 36 tourists.

Step-by-step explanation:

Ok, we have two integer numbers:

T, the number of tourists and S, the number of seats.

Such that, if we divide the tourists into groups of 4 and in groups of 6, we end with no empty seats.

Knowing that the number S must be an integer, and when we divide T into groups of 4 and 6 we end with no empty seats, this means that T can be divided by 4 and by 6.

This means that T is a common multiple of 4 and 6

Now, we also know that 25 < T < 45.

Then let's see which ones are the multiples of 4 between 25 and 45.

4*7 = 28

4*8 = 32

4*9 = 36

4*10 = 40

4*11 = 44.

Now, the multiples of 6 in that range are:

6*5 = 30

6*6 = 36

6*7 = 42.

You can see that 36 is a common multiple, other way to see it is:

4*9 = (2*2)*(3*3) = 2*2*3*3 = (2*3)*(2*3) = 6*6

So the numer of tourist must be 36.

8 0
3 years ago
Can anyone at least answer one questions pls and thank you
Burka [1]

Step-by-step explanation:

Number on is base

Two is diameter

Three is radius and diamater

Five is cubic

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( pls excuse my spelling )

5 0
3 years ago
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