Question

Please show steps. explantion would be good too

Answer 1

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➷ Assuming the roles will be filled in order, this is how you would figure it out

(e.g. role 1 is assigned, then role 2 is assigned)

There would be 9 possible candidates for the first position

Once that position has been decided, the second position will have 8 possible candidates

FOr the third position, there will be 7 possible candidates

6 possible candidates for the fourth position

5 possible candidates for the fifth position

To find all the different possibilities, you need to multiply the number of possible candidates for each role together:

9 x 8 x 7 x 6 x 5 = 15120

It would be option B

✽

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

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Answer 2

Hey there!

"A student government  has 5 positions to fill and there are 9 candidates  running for any one of the positions. How many different possibilities are there for the 5 positions?"

1. Highlight your key terms (this step helps you understand the question/ word problem better). We are going a little bit downward. until we find out what we're going to do to solve this equation :)
2. We have about 9 possible candidates for your "First position"
3. Your "second position" would probably most likely going to be 8, I believe
4. For your "third position" you would have it as 7
5. For your "fourth position" you would most likely have about 6
6. And last but not least for your "fifth position" the amount of candidates would most likely be 5
7. Now that we have that portion out of the way, let's solve for your answer!

                   - $\bold{Your \ steps\downarrow}$

• $\bold{9\times8\times7\times6\times5}$
• $\bold{9\times8=72}$
• $\bold{72\times7\times6\times5}$
• $\bold{72\times7=504}$
• $\bold{504\times6\times5}$
• $\bold{504\times6=3,024}$
• $\bold{3,024\times5=15,120}$
• $\boxed{\boxed{\bold{Your \ Answer:15,120}}}\checkmark$

Good luck on your assignment and enjoy your day!

~$\bold{\frak{LoveYourselfFirst:)}}$