Three distinct numbers \( a, b, c \) are chosen at random from the ...

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Three distinct numbers \( a, b, c \) are chosen at random from the numbers \( 1,2, \ldots . ., 100 \). The probability that
Column 1
Column 2
(a) \( a, b, c \) are in A.P.
(p) \( \frac{53}{161700} \)
(b) \( a, b, c \) are in G.P.
(q) \( \frac{1}{66} \)
(c) \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in G.P.
(r) \( \frac{1}{22} \)
(d) \( a+b+c \) is
(s) \( \frac{1}{2} \)
divisible by 2
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