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Mathematics-Online problems: | ||

## Solution to the problem of the (previous) week |

** Problem:**

Lara |
Marc |
||
---|---|---|---|

OLGA |
Axel |
||

Vera |
TIMO |
||

Elke |
Hans |

How many possibilities exist, if

a) |
there are only girls or only boys in each group, |

b) |
each group has one girl and one boy, |

c) |
there is no condition at all? |

**Answer:**

a) |
|||

b) |
|||

c) |

** Solution:**

**a)**- There exist 3 possibilities for the two groups of
girls. This is, e.g., determined by the fact which of the girls forms a group
with Lara. If we combined them with the corresponding possibilities
for the grouping of the boys, we would obtain

**b)**- We consecutively count the possibilities of choosing a
partner for Lara, Olga, Vera, and Elke. Thus, we obtain

**c)**- There are

[problem of the week]