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ELEN [110]
3 years ago
10

Compute the permutations and combinations. 6 P 4 15 30 360

Mathematics
2 answers:
3241004551 [841]3 years ago
7 0
The answer is c.
6 P 4 = 360
ycow [4]3 years ago
3 0

Answer:

\text{The value of }_4^6\txterm{P}\text{ is }360

Step-by-step explanation:

we have to evaluate the permutation

_4^6\txterm{P}

The permutation formula can be written as

_r^n\txterm{P}=\frac{n!}{(n-r)!}

_4^6\txterm{P}=\frac{6!}{(6-4)!}=\frac{6!}{2!}

=\frac{6\times 5\times 4\times 3\times 2!}{2!}=360

\text{Hence, the value of }_4^6\txterm{P}\text{ is }360

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20 POINTS!<br><br><br> Yes or No?
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Read 2 more answers
Which functions are the same as their inverse functions? please help!!!
Whitepunk [10]
Case a)
f(x)=[x-1]/[x+5]
step 1
f(x)=y
y=[x-1]/[x+5]
step 2
exchange x for y and y for x
y=[x-1]/[x+5]------> x=[y-1]/[y+5]----> x*[y+5]=[y-1]----> xy+5x=y-1
step 3
clear the variable y
xy+5x=y-1-----> y-xy=5x+1----> y*[1-x]=[5x+1]----> y=[5x+1]/[1-x]
step 4
f(x)-1= [5x+1]/[1-x]
the function and the inverse function are not the same

case b)
g(x)=[x-2]/[x-1]
step 1
g(x)=y
y=[x-2]/[x-1]
step 2
exchange x for y and y for x
y=[x-2]/[x-1]------> x=[y-2]/[y-1]----> x*[y-1]=[y-2]----> xy-x=y-2
step 3 
clear the variable y
xy-x=y-2-----> xy-y=-2+x----> y*[x-1]=[x-2]----> y=[x-2]/[x-1]
step 4
g(x)-1= [x-2]/[x-1]
the function and the inverse function are  the same

case c)
h(x)=[x+3]/[x-2]
step 1
h(x)=y
y=[x+3]/[x-2]
step 2
exchange x for y and y for x
y=[x+3]/[x-2]------> x=[y+3]/[y-2]----> x*[y-2]=[y+3]----> xy-2x=y+3
step 3 
clear the variable y
xy-2x=y+3-----> xy-y=3+2x----> y*[x-1]=[2x+3]----> y=[2x+3]/[x-1]
step 4
h(x)-1= [2x+3]/[x-1]
the function and the inverse function are not the same

case d)
k(x)=[x+1]/[x-1]
step 1
k(x)=y
y=[x+1]/[x-1]
step 2
exchange x for y and y for x
y=[x+1]/[x-1]------> x=[y+1]/[y-1]---> x*[y-1]=[y+1]----> xy-x=y+1
step 3 
clear the variable y
xy-x=y+1-----> xy-y=x+1----> y*[x-1]=[x+1]----> y=[x+1]/[x-1]
step 4
k(x)-1= [x+1]/[x-1]
the function and the inverse function are  the same

7 0
2 years ago
John bought an antique model car priced at $72 she also had to pay 5% sales tax what was the total amount she paid
jeka94
Multiply $72 into 5% and that should give you an answer
4 0
3 years ago
A person wishes to mix coffee worth ​$9 per lb with coffee worth ​$3 per lbto get 240 lbsof a mixture worth $5 per lbHow many po
Nimfa-mama [501]
In order to get $5 per pound, you need a ratio of 1:2. One $9 for every two $3 will get you $5 per pound, since 9 + 3 + 3 is 15, divided by 3 pounds is $5. For 240 pounds, divide by three (since there is one $9 and two $3). This is 80 times the 3 pounds at $5.
Therefore, 1 × 80 is 80 pounds of $9 coffee, and 2 × 80 is 160 pounds if $3 coffee. which totals 240 pounds at $5 per pound.
8 0
2 years ago
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