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Mathematics
5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is
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Q. 5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is
Probability - Part 2
A
$\frac{2}{125}$
B
$\frac{1}{5 !}$
C
$\frac{1}{{ }^{200} C _5}$
D
$\frac{3}{400}$
Solution:
$n(S)={ }^{200} C_5 \cdot 5 ! $
$n(A)=1 \cdot{ }^{200} C_5 $
$\therefore P ( A )=\frac{1}{5 !} $