In how many ways can 4 balls be selected from a box containing 1 red, 2 blue, 3 white and 4 black balls such that at least two selected balls are of the same colour? It is known that all the balls of a colour are identical.
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Solution

2 same, 1 different, 1 different = $^{3} C_{2} ^{3} C_{2} = 9$

3 same 1 different = $^{2} C_{2} ^{3} C_{2} = 6$

4 same = 1

Total = 16

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In how many ways can 4 balls be selected from a box containing 1 red, 2 blue, 3 white and 4 black balls such that at least two selected balls are of the same colour? It is known that all the balls of a colour are identical. ___

2 same, 1 different, 1 different = 3C2∗3C2=9 3 same 1 different = 2C2∗3C2=6 4 same = 1 Total = 16

In how many ways can 4 balls be selected from a box containing 1 red, 2 blue, 3 white and 4 black balls such that at least two selected balls are of the same colour? It is known that all the balls of a colour are identical.
___

2 same, 1 different, 1 different = $^{3} C_{2} ^{3} C_{2} = 9$

3 same 1 different = $^{2} C_{2} ^{3} C_{2} = 6$

4 same = 1

Total = 16