Here the order matters (the medal of the 1st is different from the medal of the 2nd, etc.)
So it's a permutation (arrangement) of 6 chosen among 31:
³²P₆ = (n!)/(n-r)! = 32!/26! = 652,458,240
Another method:
the 1st medal could be won by 32
the 2nd medal could be won by 31 .
the 3dd medal could be won by 30
.etc. etc.
the 6th medal could be won by 27
.
Then the number of possibilities = 32x31x30x29x28x27 =652,458,240
let the smaller number be x
then, bigger number = 2x-10
next, x+2x-10 = 38
=3x-10 = 38
3x= 38+10=48
x=48/3
x=16
then bigger number = 2x-10 = 2*16-10= 22
hope this helps. C:
F(g(h(3)))
find h(3)
h(3)=3-1=2
now
f(g(h(3))=f(g(2))
find g(2)
g(2)=3(2)-5=6-5=1
now
f(g(h(3)))=f(g(2))=f(1)
find f(1)
f(1)=-2(1)^3
f(1)=-2(1)
f(1)=-2
answer is D
The answer is: " 28.5 ft " ; or, write as: " 28 ½ ft. " .
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Area = (1/2) *(base length 1 + base length 2) * height;
A = (½) * (b₁ + b₂) * h ;
A = (½) * (4.5 + 9.75) * 4
A = (½) * (14.25)* 4 ;
A = 2 * (14.25) ;
A = 28.5 ft ; or, write as: 28 ½ ft.
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