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zubka84 [21]
3 years ago
11

In how many ways can we put five identical fruits into three bowls? Note that the bowls may be empty.

Mathematics
2 answers:
ELEN [110]3 years ago
7 0

Answer:

243 outcomes

Step-by-step explanation:

Number of fruits = 5

Number of bowls = 3

Number of ways to put the fruits in the bowls = ?

Consider the number of choices for each fruit.

There are three bowls where you can place that fruit. So for all five fruits, there are a total of:

3^5 = 3*3*3*3*3

= 243 outcomes....

nlexa [21]3 years ago
6 0

Answer with explanation:

There are five identical fruits into three bowls

First fruit out of five fruits can be filled in any of three Bowls _{1}^{3}\textrm{C}\\\\=3.

Similarly, Second fruit can be filled in any of three Bowls in =_{1}^{3}\textrm{C}\\\\=3.

Third one=_{1}^{3}\textrm{C}\\\\=3.

Fourt fruit=_{1}^{3}\textrm{C}\\\\=3.

Fifth one=_{1}^{3}\textrm{C}\\\\=3.

Total nmber of ways of filling of 3 bowls by five identical fruits

                   =3×3×3×3×3

                  =243 ways

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