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A bag has the balls shown in the figure. In how many ways can 2 balls of different colours be picked?

Competition practicePermutations & Combinations

A19
B47
C66
D60

Step-by-Step Solution

Red-blue

4 \times 5 = 20

, blue-green

5 \times 3 = 15

, red-green

4 \times 3 = 12

. Total

47. (66 =^{12} C_{2}

includes same-colour pairs.)

Answer: B) 47

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