Please help me it is very important
Answers
Answer:
6750
Step-by-step explanation:
I'm not sure if I'm right, so please confirm if my solution is right.
there can be 5 selected marbles, 3 of which are already said to belong to each colour.
since we are selecting, we have to use combinations
the first marble must be 1 of the 5 blue marbles, i.e. ways to select the first marble = ⁵C₁
the second marble must be 1 of the 5 green marbles, i.e. ways to select the second marble = ⁵C₁
the third marble must be 1 of the 3 black marbles, i.e. ways to select the third marble = ³C₁
the fourth marble can be any of the 10 left marbles, i.e. ways to select the fourth marble = ¹⁰C₁
the fifth marble can be any of the 9 left marbles, i.e. ways to select the fifth marble = ⁹C₁
therefore, ways to select the 5 marbles = ⁵C₁×⁵C₁׳C₁×¹⁰C₁×⁹C₁
= 5×5×3×10×9
= 25×30×9
= 750×9
= 6750