Probability & Statistics (43 of 62) Permutations and Combinations - Example 8

In this video I will find the permutations of 3 blue, 5 red, and 2 white marbles where some colors cannot be distinguished.

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[RiaziMohandesi]

The easy way for part b is:
P(10, 3) × P(7×5)
Or
P(10, 3) × P(7×2) . First we find combination for 3 blue marble for 10 places. Then, 7 place is left for red and white marbles. Now, we can find combination for 5 red marbles for the 7 place or 2 white marbles for the 7 place and both are the same. Finally we multiply the two answers.

[noway]

just feel really wired why it asks in this way- 'distinguished....' a) is a very easy question but he made it confusing...

[ramanable]

Could you please explain the logic behind
P10= N*[p3*p5*p2] . I did't quiet get it

By the way excellent videos !! Very helpful

[joeyborja]

For b, as I see it, is the number of permutations (total) divided by the permutations of each group of redundancies, in a way, deducting the redundancies from the total ~4million permutations.

[anishabenny]

Sir, I couldn't understand the logic behind taking N..Can this be done by taking 3 blue, 5 red and 2 white marbles as single marbles respectively and then find permutation?

[MasayoMusic]

b seems similar to the combinations formula that we use.

[crissaocesgam]

Thank you sir. Just discovered your channel. This 6 years old video helped me a lot

[ivyjumawid]

Sir, how about 10 blue bear, 10 green bear and 10 red bear?

[VoDinhTuan]

me too, i can't understand answer b? Help me explain it. thanks

[Barba_]

So we introduce the problem of partitions here or is it just me... if you dont know what partitions are look it up. its very interesting

[pradeepkumarreddykondreddy]

If i have 2 red balls, 2 blue balls, 1 green ball, then in how many ways we can arrange so that no two same color balls are together.

[pawwwnkaarki]

Given 5 different green balls, 4 different blue balls, and 3 different red balls, how many combinations of balls can be chosen taking at least one green and one blue ball?

[pumlamanyatsi]

Why do you end by 6.
Why is it 10 9 8 7 6