Math, asked by gprem2530p8inok, 8 months ago

Please help me it is very important

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Answered by sarkarharsh708
0

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

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