Answer:
465,817,912,560 ways
Step-by-step explanation:
This problem of selection is a combination problem
There are 30 different computer games and 20 different toys
The first bag is to contain 20 computer games, this means we're to select 20 computer games from 30 computer games. This can be done in
³⁰C₂₀ ways = 30,045,015 ways
The second bag is to have 15 toys, this means we're to select 15 toys from 20 toys. This can be done in
²⁰C₁₅ ways = 15,504 ways
Then the remaining toys and computer games are put into the last bag
¹⁵C₁₅ = 1 way
Total number of ways to distribute the toys and computer games among 3 bags = 30,045,015 × 15,504 × 1 = 465,817,912,560 ways
