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Dafna1 [17]
3 years ago
15

What is the answer to this problem??

Mathematics
1 answer:
Julli [10]3 years ago
3 0

sorry K did not understand

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Suppose we want to choose 4 objects, without replacement, from 16 distinct objects (a) How many ways can this be done, if the or
lys-0071 [83]

Answer:

a) 1820 ways

b) 43680 ways

Step-by-step explanation:

When the order of the choices is relevant we use the permutation formula:

P_{n,x} is the number of different permutations of x objects from a set of n elements, given by the following formula.

P_{n,x} = \frac{n!}{(n-x)!}

When the order of choices is not relevant we use the combination formula:

C_{n,x} is the number of different combinations of x objects from a set of n elements, given by the following formula.

C_{n,x} = \frac{n!}{x!(n-x)!}

In this problem, we have that:

x = 4, n = 16

(a) How many ways can this be done, if the order of the choices is not relevant?

C_{16,4} = \frac{16!}{4!(12)!} = 1820

(b) How many ways can this be done, if the order of the choices is relevant?

P_{16,4} = \frac{16!}{(12)!} = 43680

4 0
3 years ago
Square root x-2=7<br>answers are<br>a)51<br>b)27<br>c)23 <br>I'm confused on how to do this ?
IgorC [24]
It's A because to remove the radical you do x-2 squared and 7 squared which you will get x-2=49 and then subtract -2 from 49 which gives you 51
4 0
3 years ago
Read 2 more answers
Pam open a bank account with $200 deposit that account had a simple interest rate of 4.6% her most recent bank statement shows a
Marina86 [1]

Answer:

t=14\ years

Step-by-step explanation:

we know that

The simple interest formula is equal to

A=P(1+rt)

where

A is the Final Investment Value

P is the Principal amount of money to be invested

r is the rate of interest  

t is Number of Time Periods

in this problem we have

t=?\ years\\ P=\$200\\ A=\$328.80\\r=0.046

substitute in the formula above  and solve for t

328.80=200(1+0.046t)

(328.80/200)=(1+0.046t)

t=[(328.80/200)-1]/0.046

t=14\ years

5 0
3 years ago
A building that is 115 feet tall casts a shadow that is 190 feet long. determine the angle at which the rays of the sun hit the
umka21 [38]
Wouldn't it be 54 degrees?
4 0
3 years ago
I need help with #2 plz!!!!!!!!!!!!!!!!!!!!!
Lubov Fominskaja [6]
To simplify the equation 3(5 + 2x), the distributive factor must be used, so the number outside the bracket (3), must be distributed (or multiplied) with each of the terms inside the brackets (5 and 2x) and then simplify

<span>3(5 + 2x)
</span>3(5) + 3(2x)
15 + 6x


6 0
3 years ago
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