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Yanka [14]
3 years ago
9

Find the number of permutations of the first eight letters of the alphabet taking four letters at a time.

Mathematics
1 answer:
polet [3.4K]3 years ago
3 0
The number of permutations of 8 different things taken 4 at a time is given by:
8C4=\frac{8!}{(8-4)!}=8\times7\times6\times5=1680
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Answer:

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8 0
3 years ago
How do you solve 6650÷50
SpyIntel [72]

Answer:

its 133

Step-by-step explanation:

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4 0
2 years ago
Math question picture included<br><br>A.40m<br>B. 36m<br>C. 32 m<br>D. 30 m
Katarina [22]

Answer: 32 meters

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6 0
3 years ago
S the expression x3•x3•x3 equivalent to x3•3•3
Artyom0805 [142]
Remember
(x^m)(x^n)=x^(m+n)
and difference of 2 perfect squres
(a²-b²)=(a-b)(a+b)
and sum or difference of 2 perfect cubes

so
(x^3)(x^3)(x^3)=x^(3+3+3)=x^9
so

x^9=3*3*x^3
x^9=9x^3
minus 9x^3 both sides
0=x^9-9x^3
factor
0=(x^3)(x^6-9)
factor difference of 2 perfect squraes
0=(x^3)(x^3-3)(x^3+3)
factor differnce or sum of 2 perfect cubes (force 3 into (∛3)³)
0=(x³)(x-∛3)(x²+x∛3+∛9)(x+∛3)(x²-x∛3+∛9)
set each to zero

x³=0
x=0

x-∛3=0
x=∛3

x²+x∛3+∛9=0 has no solution

x+∛3=0
x=-∛3

x²-x∛3+∛9=0 has no solution



so the solutions are
x=-∛3, 0, ∛3
3 0
3 years ago
Peter is overweight. He is 105 kg. His aim is to lose 500 g per week. If he manages this, how many weeks will it be until he is
Serga [27]
It would take 1 week and 6 days.
6 0
2 years ago
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