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marin [14]
3 years ago
5

16. A president and vice-president must be chosen for the executive committee of an organization. There are 17 volunteers from t

he Eastern Division and 24 volunteers from the Western Division. If both officers must come from the same division, in how many ways can the officers be selected?
Mathematics
1 answer:
Ronch [10]3 years ago
7 0

Answer:    412

Step-by-step explanation:

We need to calculate how many different groups of 2 volunteers come out of the 17 volunteers in the Eastern division

C¹⁷₂ = 17!/ 2! (17-2)! ⇒17*16*15!/ 2! * 15! ⇒ C¹⁷₂ = 17*16/2  

C¹⁷₂ = 136

And the same criteria is valid for Western division volunteers

C²⁴₂ = 24!/ 2! *(24-2)! ⇒24*23*22! / 2!*22! ⇒ C²⁴₂ = 24*23/2

C²⁴₂ = 276

And the sum of these two groups will be the total ways the officers can be selected

C = 276 + 136 = 412

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Answer:

5 FULL necklaces.

Step-by-step explanation:

85/15

About 5.667

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So just 5! :)

8 0
2 years ago
At Candyland Daycare there are 7 children to every 2 caretakers. If there are 35 children at the daycare, then how many caretake
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8 0
3 years ago
Read 2 more answers
Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dis
Ronch [10]
<h2><u>Complete Question: </u></h2>

Learning Task 1: Identify similar and dissimilar fractions. On your note- book write S if the fractions are similar and D if dissimilar.

1. \frac{2}{3} $ and $ \frac{1}{3}

2. \frac{3}{4} $ and $ \frac{1}4}

3. \frac{4}{7} $ and $ \frac{7}{8}

4. \frac{2}{5} $ and $ \frac{5}{11}

5. \frac{7}{13} $ and $ \frac{7}{9}

<h2><em><u>The answers:</u></em></h2>

1. \frac{2}{3} $ and $ \frac{1}{3} - Similar (S)

2. \frac{3}{4} $ and $ \frac{1}4} - Similar (S)

3. \frac{4}{7} $ and $ \frac{7}{8} - Dissimilar (D)

4. \frac{2}{5} $ and $ \frac{5}{11} - Dissimilar (D)

5. \frac{7}{13} $ and $ \frac{7}{9} - Dissimilar (D)

Note:

  • Similar fractions have the same denominator. i.e. the bottom value of both fractions are the same.
  • Dissimilar fractions have different value as denominator, i.e. the bottom value of both fractions are not the same.

Thus:

1. \frac{2}{3} $ and $ \frac{1}{3} - They have equal denominator. <u><em>Both fractions are similar (S).</em></u>

2. \frac{3}{4} $ and $ \frac{1}4} - They have equal denominator. <em><u>Both fractions are similar (S).</u></em>

3. \frac{4}{7} $ and $ \frac{7}{8} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

4. \frac{2}{5} $ and $ \frac{5}{11} - They have equal denominator. <u><em>Both fractions are dissimilar (D).</em></u>

5. \frac{7}{13} $ and $ \frac{7}{9} - They have equal denominator. <em><u>Both fractions are dissimilar (D).</u></em>

Therefore, the fractions in <em><u>1 and 2 are similar (S)</u></em> while those in <em><u>3, 4, and 5 are dissimilar (D).</u></em>

<em><u></u></em>

Learn more here:

brainly.com/question/22099172

7 0
2 years ago
What combination of transformations is shown below?
ozzi

the sequence is:

Translation, then reflection.

The correct option is the second one.

<h3>What combination of transformations is shown?</h3>

We start with figure 1.

In the image, we can see that the image is shifted 4 units up and 4 units left to make figure 2.

Then you can see that the image is reflected across a horizontal line to make figure 3, you can see that because now the "L" is facing upwards.

Then the sequence is:

Translation, then reflection.

The correct option is the second one.

If you want to learn more about transformations:

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#SPJ1

3 0
2 years ago
Three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer. If the gloves are removed at random without re
balandron [24]

Answer:

4

Step-by-step explanation:

Given that three pairs of gloves- a red pair, a blue pair, and a green pair-are in a drawer.  The gloves are removed at random without returning any to the drawer.

We have to find the minimum number that must be removed in order to guarantee having a matched pair of gloves

No of different colours = 3 (red, blue, green)

Hence no of gloves that must be removed = 3+1

If 4 gloves are removed, only 3 can be of different colours 1 will have same colour as any one of the three.

So a pair of same colour would be obtained

Answer is 4

8 0
3 years ago
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