Mathematics, 15.07.2021 01:00 gabischmid4340

Your history teacher gives you a list of eight study questions. Five of the eight will be on
the next test.
How many different combinations of eight
can the teacher choose from the eight study
questions?

Answers: 3

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Answers

Your answer is gonna be 56

some explanation stuff if needed :

8 questions, and your teacher will choose 5. The order doesn’t matter just whether or not they’re on the test!

Thats a combination (permutation is where the order matters).

nCr= (n!)/(n-r)!·r!
n is the number of options
r is the number you choose
! is “factorial” (multiplying every whole number down the 1; ex: 4! = 4·3·2·1 = 24)

so lets substitute:
n= 8 questions from which to choose
r= 5 the number the teacher will choose

8C5= (8!)/(8-5)!·5!
= (8!)/(3)!·5!
= (8·7·6·5·4·3·2·1)/(3·2·1)·(5·4·3·2·1)
= 40,320/(6)·(120)
= 40,320/720
= 56

There are 56 possible combinations of 5 questions your history teacher could choose.

hope i helped :)

~ mo

Answer from: Quest

the most boring thing ever written

step-by-step explanation:

i am writing something. yes, i plan to make it the most boring thing ever written. i go to the store. a car is parked. many cars are parked or moving. some are blue. some are tan. they have windows. in the store, there are items for sale. these include such things as soap, detergent, magazines, and lettuce. you can enhance your life with these products. soap can be used for bathing, be it in a bathtub or in a shower. apply the soap to your body and rinse. detergent is used to wash clothes. place your dirty clothes into a washing machine and add some detergent as directed on the box. select the appropriate settings on your washing machine and you should be ready to begin. magazines are stapled reading material made with glossy paper, and they cover a wide variety of topics, ranging from news and politics to business and stock market information. some magazines are concerned with more recreational topics, like sports card collecting or different kinds of hairstyles. lettuce is a vegetable.

Answer from: Quest

answer: answer: d) v= 1/6 bh

step-by-step explanation:

since according to the given question, a pyramid is placed inside a prism.

step-by-step explanation:

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