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3 years ago

A group of four boys (Alex, Bryan, Chris, and David) and five girls (Megan, Nancy, Olivia, Pauline, and Rebecc?

Mathematics

1 answer:

aliina [53]3 years ago

4 0

Answer:

a) P = 362880 ways

b) P = 2880 ways

Step-by-step explanation:

a) We have four boys and five girls, they are going to sit together in a row of 9 theater seats, without restrictions

We have a permutation of 9 elements

P = 9!

P = 9*8*7*6*5*4*3*2*1

P = 362880 ways

b) Boys must seat together, we have two groups of people

4 boys they can seat in 4! different ways

P₁ = 4!

P₁ = 4*3*2*1

P₁ = 24

And girls can seat in 5! dfferent ways

P₂ = 5!

P₂ = 5*4*3*2*1

P₂ = 120

To get total ways in the above mentioned condition, we have to multiply P₁*P₂

P = 24*120

P = 2880 ways

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Sabrina wants to have an average of at least 90 on her quizzes. If she took three quizzes andearned a 95, 86 and 82, what is the

Marrrta [24]

Answer:

Step-by-step explanation:

97 + 95 + 86 + 82 = 360

360 / 4 = 90

i hope this helps :))

3 0

3 years ago

Suppose that a group of 10 students are to be assigned to four dorm rooms: a single, a double, a triple and a quad. How many way

Nesterboy [21]

Answer:

Total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

Step-by-step explanation:

We have given number of students = 10

These 10 students are assigned to four dorm rooms a single, a double, a triple and a quad

So number of ways to assigned single student $=^{10}C_1=\frac{10!}{1!9!}=10\\$

Now left student = 10 -1 = 9

So number of ways to assigned double student $=^{9}C_2=\frac{9!}{2!7!}=36$

Now left student = 9-2 = 7

So number of ways to assigned triple student $=^{7}C_3=\frac{7!}{2!4!}=$ =70

Now left student = 7 - 3 = 4

So number of ways to assigned quad student $=^{4}C_4=\frac{4!}{4!0!}=1$

So total number of ways to select all sstudent to make assignment = 10×36×70×1 = 25200

6 0

3 years ago

Solve the inequality. 8-2x < -x + 9

mezya [45]

Answer:

x > -1

Step-by-step explanation:

$8-2x < -x+9\\8-2x-8 < -x+9-8\\-2x < -x+1\\-2x+x < -x+1+x\\-x < 1\\\left(-x\right)\left(-1\right) > 1\cdot \left(-1\right)\\x > -1$

7 0

2 years ago

Double the quotient of q and r

Sav [38]

Answer:

(q/r)*2

Step-by-step explanation:

divide q and r, then multiply the result

3 0

3 years ago

A shipment of 15 cases of socks is received from the vendor. Each case contains four boxes. How many boxes of socks have been re

scZoUnD [109]

The answer to this would be 60 boxes of socks

5 0

3 years ago