5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is

Question

5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is (A) (2/125) (B) (1/5 !) (C) (1/ 200 C 5) (D) (3/400)

Tardigrade Admin · Accepted Answer

n(S)= 200 C5 ⋅ 5 ! n(A)=1 ⋅ 200 C5 ∴ P ( A )=(1/5 !)

Q. 5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is

$\frac{2}{125}$

$\frac{1}{5 !}$

$\frac{1}{^{200} C _{5}}$

$\frac{3}{400}$

$n (S) =^{200} C_{5} \cdot 5!$
$n (A) = 1 \cdot^{200} C_{5}$
$∴ P (A) = \frac{1}{5 !}$

Q. 5 numbers are selected from the first 200 natural numbers. The chance that they are drawn in the increasing order is

1252​

5!1​

200C5​1​

4003​

n(S)=200C5​⋅5! n(A)=1⋅200C5​ ∴P(A)=5!1​

$\frac{2}{125}$

$\frac{1}{5 !}$

$\frac{1}{^{200} C _{5}}$

$\frac{3}{400}$

$n (S) =^{200} C_{5} \cdot 5!$
$n (A) = 1 \cdot^{200} C_{5}$
$∴ P (A) = \frac{1}{5 !}$