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Nookie1986 [14]
3 years ago
11

How many ways are there to distribute 5 identical apples and 6 identical pears to 3 distinct people such that each person has at

least one pear?
Mathematics
1 answer:
Nady [450]3 years ago
6 0

Answer:

961

Step-by-step explanation:

5 apples and 6 pears are to be distributed among 3 different people.

the number of ways the fruits could be distributed without restrictions is 3^ 11 = 177147

If each person gets at least one pear,first calculate the number of ways 6 pears could be distributed among 3 people

= 3^6 - 3

= 729 -3 = 726

Secondly calculate the number of ways 5 apples could be distributed among 3 people

3^5 = 243

Total = 726 + 243

= 961 ways

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Answer:

volume of a cone = 461.58cm³

Step-by-step explanation:

to find the volume of a cone

given the radius of the cone = 7cm

height of the cone = 9cm

recall that the volume of a cone = πr² h/3

volume of a cone =  3.14 x 7² x  9/3

volume of a cone = 3.14 x 49 x 3

volume of a cone = 3.14 x 147

volume of a cone = 461.58cm³

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39. Solve this system: 3x+y=-7 . 4x-y=14A. (–1, 10)B. (1, –10)C. (–1, –10)D. no solution
valkas [14]

Given,

The linear pair of the equation is,

\begin{gathered} 3x+y=-7 \\ 4x-y=14 \end{gathered}

Required

The solution of the linear equation.

Taking the equation first as,

\begin{gathered} 3x+y=-7 \\ y=-7-3x \end{gathered}

Substituting the value of y in second equation then,

\begin{gathered} 4x-y=14 \\ 4x+7+3x=14 \\ 7x+7=14 \\ 7x=7 \\ x=1 \end{gathered}

Substituting the value of x in first equation then,

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Answer:

30% that he chooses red and 30% that he chooses blue.

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