Seven girls G1, G2, G3, ..., G7 are such that their ages are in order G1 < G2 < G3 < ….. < G7. Five girls are selected at random and arranged in increasing order of their ages. The probability that G5 and G7 are not consecutive is

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2021

1921

1721

1321

answer is C.

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Detailed Solution

Required probability = I - P (G5 and G7 are consecutive) =1− 4C3 7C5=1721

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