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Eduardwww [97]
3 years ago
10

In how many ways can 13 people be divided into four groups with 3, 6, 2 and 2 people respectively?

Mathematics
1 answer:
OleMash [197]3 years ago
8 0

Answer:

Total combination = 180,180

Step-by-step explanation:

It is a combination based problem.

So,

Total people = 13

Group = 3,6,2,2

So,

For 6 people

13C6= 1,716

For 3 people

7C3 = 35

For 2 group of 2 people

(4C2)/2 = 3

Total combination = 1,716 × 35 × 3

Total combination = 180,180

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Step-by-step explanation:

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3 years ago
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2 years ago
Eugenia walked all the way to school at 3 mph then realized she forgot her math book (how could she?!), so she ran back at 7 mph
kondor19780726 [428]

Let us say distance between Eugenia's home and school is x miles.

Speed of Eugenia when she walked from home to school = 3 mph

Speed of Eugenia when she walked from school to home = 7 mph

Total time taken = 45 minutes or 0.75 hours

We know that the speed distance formula is given by:

speed=\frac{distance}{time}

time=\frac{distance}{speed}

Time taken by Eugenia when she walked from home to school = x/3 hours

Time taken by Eugenia when she walked from school to home = x/7 hours

Total time taken = x/3+x/7

So forming an equation we have,

\frac{x}{3}+\frac{x}{7}=0.75

Taking lcd of 7 and 3 as 21,

\frac{7x}{21}+\frac{3x}{21}=0.75

\frac{10x}{21}=0.75

10x=15.75

Dividing both sides by 10 , we have

x= 1.575

Answer: So we can say that the distance between Eugenia's house and school is 1.575 miles.




4 0
3 years ago
What’s the answer to this
Vinvika [58]

Answer:

The answer is A

Step-by-step explanation:

7 0
3 years ago
2/3 times what equals 24?
Vikki [24]

Answer:

2/3 x = 24

1/3 x = 12

x = 36

36

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3 years ago
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