Answer:
The 6 Lego kits can be selected from the 9 available Lego kits in 84 ways.
Step-by-step explanation:
Use combinations to solve this problem.
Combination is defined as the selection of r elements from n distinct objects irrespective of the order. The objects cannot be replaced.
There are 9 Lego kits available.
And the total number of children is 6.
That is, we need to select 6 Lego kits from the 9 available Lego kits.
6 Lego kits can be selected from the 9 available Lego kits in [tex]9\choose 6[/tex] ways.
Solving the combination as follows:
[tex]{9\choose 6}=\frac{9!}{6!\times(9-6)!} \\=\frac{362880}{720\times6}\\ =84[/tex]
Thus, there are 84 ways to select 6 Lego kits from 9 available Lego kits.
