3 years ago

Is this a proportional relationship ?

Mathematics

1 answer:

BARSIC [14]3 years ago

5 0

Yes. I’m pretty sure it is because as the x increases by 1 the y decreases by 10

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suppose 5 men and 7 women are on a crowded elevator. at the next floor, four people get off the elevator. find the probability t

lubasha [3.4K]

The total number of arrangements for all of them to be women is:
C(7, 4) because the order does not matter; we'd still have the same arrangements.

Now, we can simplify this:
$C(7, 4) = \frac{7!}{4!(7 - 4)!}$
$= \frac{5040}{4!3!}$
$= \frac{5040}{24 \cdot 6}$
$= \frac{5040}{144} = 35$

Now, the total number of arrangements, without restriction, is simply: C(12, 4) because we don't care who we pick.

$\text{P(4 women): } \frac{35}{495} = \frac{7}{99}$