(1 point) How many ways can you give 9 (identical) apples to your 5 favourite Mathematics lecturers (without any restrictions)?

Mathematics

1 answer:

cricket20 [7]2 years ago

7 0

Answer:

126

Step-by-step explanation:

Total number of apples = 9

Number of favourite Mathematics lecturers = 5

To find number of ways in which 9 (identical) apples can be given to your 5 favourite Mathematics lecturers, find $C(9,5)$

Combination refer to selection of items such that order does not matter.

Use $C(n,p)=\frac{n!}{p!(n-p)!}$

Put $n=9,p=5$

$C(9,5)=\frac{9!}{5!(9-5)!}\\=\frac{9!}{5!4!}\\=\frac{9(8)(7)(6)5!}{5!4!} \\=\frac{9(8)(7)(6)}{4(3)(2)(1)}\\=126$

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Answer:

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Thinking—Level 2 Get Started! Exit A farm raises cows and chickens. The farmer has a total of 40 animals. One day he counts the

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Answer:

21 pieces of chickens.

Step-by-step explanation:

Given:

The farmer has a total of 40 animals. ( cows and chicken )

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