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3 years ago

How many points need to be removed from this graph

Mathematics

1 answer:

Ganezh [65]3 years ago

7 0

Answer:

Step-by-step explanation:

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A man is distributing his coin collection with 35 coins to his five grandchildren. How many ways are there to distribute the coi

Musya8 [376]

Answer:

a) $82251$

b) $2.91038 \cdot 10^{24}$

c) $1$

d) $3.17746\cdot 10^{21}$

Step-by-step explanation:

a) If the coins are all the same, we have a combination of 35 identical coins in 5 persons.

The amount of combinations is

$\binom{n+r-1}{r-1}=\binom{35+5-1}{5-1}=\binom{39}{4}=\frac{39!}{4!35!} =82251$

being n the number of coins and r the number of grandchildren.

b) If the coins are different, the number of combinations can be calculated as:

$r^n=5^{35}=2.91038 \cdot 10^{24}$

c) If the coins are all the same, and each grandchild gets the same number of coins, there is only one combination for that (everyone gets 35/5=7 coins)

d) If the coins are all distinct, but each of the grandchildren get the same numer of coins, the expression to calculate this is:

$\frac{n!}{(n/r)!^r} =\frac{35!}{(35/5)!^5}=\frac{35!}{7!^5}=\frac{1.03331\cdot 10^{40}}{3.25202\cdot 10^{18}} =3.17746\cdot 10^{21}$

3 0

3 years ago

True or False? I need help asap please

salantis [7]

Answer:

True

Step-by-step explanation:

Angles 1 and 5 match each other; they are congruent and in the same positions. There are therefore corresponding.

8 0

3 years ago

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3. An artist is creating a sculpture from clay. He starts with clay in the shape of a sphere with a radius of 3 inches.

Colt1911 [192]

Answer:

Step-by-step explanation:

4 0

3 years ago

Simplify: 6 + √27 / 3

Ray Of Light [21]

Answer:

6 + √27 / 3

6+ (3√3/3)

6+√3

Step-by-step explanation:

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3 years ago

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A circle’s circumference is approximately 76 cm.

olya-2409 [2.1K]

Answer: Area= 459.73cm^2

Step-by-step explanation: Circumference of a circle is 2πr

76=2×3.14×r

r= 76÷(6×3.14)

r=12.10

Area of a circle= πr^2

Area= 3.14×(12.10)^2

Area= 456.73cm^2

8 0

3 years ago