Three distinct number \( a, b \) and \( c \) are chosen at random from the numbers \( 1,2, \ldot.... VIDEO
Three distinct number \( a, b \) and \( c \) are chosen at random from the numbers \( 1,2, \ldots \ldots, 100 \). The probability that
P
\begin{tabular}{|l|l|l|l|}
\hline \multicolumn{2}{|c|}{ Column-I } & \multicolumn{2}{c|}{ Column-II } \\
\hline (A) & \( a, b, c \) are in A.P. is & (P) & \( \frac{53}{161700} \) \\
\hline (B) & \( a, b, c \) are in G.P. is & (Q) & \( \frac{1}{66} \) \\
\hline (C) & \( \frac{1}{a}, \frac{1}{b}, \frac{1}{c} \) are in G.P. is & (R) & \( \frac{1}{22} \) \\
\hline (D) & \begin{tabular}{l}
\( a+b+c \) is divisible by \\
2 is
\end{tabular} & (S) & \( \frac{1}{2} \) \\
\hline
\end{tabular}
(1) A-P; B-Q; C-R; D-S
(2) A-S; B-Q; C-R; D-P
(3) A-Q; B-P; C-P; D-S
(4) A-Q; B-R; C-S; D-P
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