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lara31 [8.8K]
3 years ago
6

How many different committees can be formed from 8 teachers and 48 students if the committee consists of 3 teachers and 4 ​stude

nts?
Mathematics
2 answers:
valkas [14]3 years ago
6 0
As many as you'd like
drek231 [11]3 years ago
6 0
Since we don't care about the order in which we select people, we will use the combinatoric approach, rather than permutations.
Since we want to select 3 teachers from a total of 8, this is the notation to select 3 teachers from 8 (objects).

Teachers : ^{8}C_3
Similarly, students : ^{48}C_{4}

Now, since we want both at the same time, we will need to multiply both to yield your final answer: ^{8}C_3 \cdot ^{48}C_{4} = 10,896,480 different ways.
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\frac{5}{7}  \:  -  \:  \frac{3}{2}

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\frac{10 \:  -  \: 21}{14}

  • We subtract the numbers.

\boxed{ \bold{- \frac{11}{14} }}

<h3><em><u>MissSpanish</u></em></h3>
4 0
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natta225 [31]

Answer: B

Step-by-step explanation:

It's the only one that's correct.

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3 years ago
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7 0
3 years ago
Sixty seven percent of the employees in a company have managerial positions, and 58 percent of the employees in the company have
Kazeer [188]

Answer: The proportion of employees who either have MBAs or are managers are 0.58.

Step-by-step explanation:

Since we have given that

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Probability of employees having MBA degrees = 58%

Probability of managers having MBA degrees = 67%

So, using probability formulas, we get that

P(A\cup B)=P(A)+P(B)-P(A\cap B)\\\\P(A\cup B)=0.67+0.58-0.67\\\\P(A\cup B)=0.58

Hence, the proportion of employees who either have MBAs or are managers are 0.58.

7 0
3 years ago
Phil T. Rich has $100 and spends $3 per day. Earnest Worker has only $20 but is adding to it at a
Lelechka [254]

Answer: day 11

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4 0
3 years ago
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