Leveraging off of Bunuel's approach, but

attempting to tackle from a slightly different angle.

3-1-1:Ball Combos-

(Choose 3 from 5)*(Choose 1 from 2 remaining)*(Choose 1 from 1 remaining)

5C3 * 2C1 * 1C1 = 20

Grouping Arrangements-

(Choose 2 "1 groupings" from 3 slots with the 3 grouping automatically filling the vacant spot)

3C2 = 3

20*3=60

2-2-1:Ball Combos-

(Choose 2 from 5)*(Choose 2 from 3 remaining)*(Choose 1 from 1 remaining)

5C2 * 3C2 *1C1 = 30

Grouping Arrangements-

(Choose 2 "2 groupings" from 3 slots, with the 1 grouping automatically filling the vacant spot)

3C2 = 3

30*3=90

60+90=150

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