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True [87]
3 years ago
8

Six teachers and 12 students volunteer for a committee to discuss extra-curricular activities. How many committees of 5 people c

an be made if:
a) there must be exactly 3 students on the committee

b) there must be at least one teacher and at least one student on the committee
Mathematics
1 answer:
mariarad [96]3 years ago
4 0

Answer:

a) 11,880

b) 7,770

Step-by-step explanation:

The number of teachers that volunteer = 6 teachers

The number of students that volunteer = 12 students

The number of people in the committee = 5 people

a) The exact number of student on the committee = 3 student

Therefore, the number of teachers in the committee of 5 = 5 - 3 = 2

The number of teachers in the committee = 2 teachers

We get;

The number of committees that can be made = ₁₂C₃ × ₆C₂ = 792×15 = 11,880

b) When there is at least one teacher and at least one student on the committee, we have;

₁₂C₄ × ₆C₁ + ₁₂C₃ × ₆C₂ + ₁₂C₂ × ₆C₃ + ₁₂C₁ × ₆C₄ = 7,770

The number of committees having at least one teacher and at least one student = 7,770

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Mrs.Brown biked 35 miles in 2.5 hours. How many miles could she bike in 3 hours at the same rate
quester [9]
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4 years ago
DJI manufactures the Mavic Air 2 quadcopter and offered a 6/4/3 chain discount to primary customers. Drone Nerds is a primary cu
vova2212 [387]

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So the first discount received is 6% on the $26500.

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Simplifying we get

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The price after the first discount is $24910

Now we will apply the 4% discount on $24910

Price after second discount=24910-4% of 24910

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brainly.com/question/3393062

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7 0
2 years ago
Solve this equation for x. Round your answer to<br>the nearest hundredth.<br>7 = In(x + 5)<br>​
oksian1 [2.3K]

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x ≈ 1091.63

Step-by-step explanation:

Using the rule of logarithms

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7 0
3 years ago
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