A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue

# A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue

J
Asked by 2 years ago
240 points

A child has 12 blocks, of which 6 are black, 4 are red, 1 is white, and 1 is blue. If the child puts the blocks in a line, how many arrangements are possible?

A child
jeffp

### 1 Answer

Answered by 2 years ago
8.7k points

Use the formula for a set for n objects of which some are indistinguishable from each other,

$$\frac{n!}{n_1!n_2! \ldots n_r! }$$

we have 12 total items, of which some are indistinguishable from each other,

$$\frac{12!}{6!4!}=27720$$

possible arrangements

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Asked: 2 years ago