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2 years ago

In how many ways can 4 blue flags 3 green flags and 2 flags be arranged

1 answer:

3 0

Assuming all of the same coloured flags are indistinguishable,

$\text {Number of ways } = \dfrac{9!}{4!3!2!} = 1260$

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Answer: 1260 ways
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The answer should be B. Hope this helped

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2 years ago

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21 is 20% of what number

Ksenya-84 [330]

Answer:

21 is 20% of 105

Step-by-step explanation:

20% * x = 21

20/100 * x = 21

x = 21 * 100/20

x = 105

If you are using a calculator, simply enter 21×100÷20, which will give you the answer.

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3 years ago

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6. a semicircle has as its diameter the hypotenuse of a right triangle shown below. determine the area of the semicircle to the

jeyben [28]

Answer:

$A = 137.3cm^2$

Step-by-step explanation:

Given

See attachment

Required

The area of the semicircle

First, we calculate the hypotenuse (h) of the triangle

Considering only the triangle, we have:

$\cos(68) = \frac{7}{h}$ --- cosine formula

Make h the subject

$h = \frac{7}{\cos(68)}$

$h = \frac{7}{0.3746}$

$h = 18.7$

The area of the semicircle is then calculated as:

$A = \frac{\pi h^2}{8}$

This gives:

$A = \frac{3.14 * 18.7^2}{8}$

$A = \frac{1098.03}{8}$

$A = 137.3cm^2$

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2 years ago

Your 3 nieces and 3 nephews (6 children total) are visiting for the holidays. You must give them each a present. They all love l

marusya05 [52]

Answer:

The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.

Step-by-step explanation:

Use combinations to solve this problem.

Combination is defined as the selection of r elements from n distinct objects irrespective of the order. The objects cannot be replaced.

There are 9 Lego kits available.

And the total number of children is 6.

That is, we need to select 6 Lego kits from the 9 available Lego kits.

6 Lego kits can be selected from the 9 available Lego kits in $9\choose 6$ ways.

Solving the combination as follows:

${9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84$

Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.

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2 years ago

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NemiM [27]

Answer:

Step-by-step explanation:

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3 years ago