Five numbers x _{1}, x _{2}, x _{3}, x _{4}, | vedclass

Name: PDF Generator App | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

No. of ways to select and arrange $x _{1}, x _{2}, x _{3}, x _{4}, x _{5}$ from $1,2,3 \ldots \ldots \ldots \ldots \ldots . \ldots18$

$n ( s )={ }^

Vedclass · Accepted Answer

$\frac{1}{68}$

Vedclass · Answer

No. of ways to select and arrange $x _{1}, x _{2}, x _{3}, x _{4}, x _{5}$ from $1,2,3 \ldots \ldots \ldots \ldots \ldots . \ldots18$

$n ( s )={ }^{18} C _{5}$

$x_{1}\left (x_{2}ight) \quad x_{3} \quad\left(x_{4}ight)\quad x_{5}$

          $7$                  $11$

$n ( E )={ }^{6} C _{1} 	imes{ }^{3} C _{1} 	imes{ }^{7} C _{1}$

$P(E)=\frac{6 	imes 3 	imes 7}{{ }^{18} C_{5}}$

$\frac{1}{17 	imes 4}=\frac{1}{68}$

Five numbers $x _{1}, x _{2}, x _{3}, x _{4}, x _{5}$ are randomly selected from the numbers $1,2,3, \ldots \ldots, 18$ and are arranged in the increasing order $\left( x _{1}< x _{2}< x _{3}< x _{4}< x _{5}\right)$. The probability that $x_{2}=7$ and $x_{4}=11$ is

Similar Questions

If $12$ identical balls are to be placed randomly in $3$ identical boxes, then the probability that one of the boxes contains exactly $3$ balls is

All face cards from pack of $52$ playing cards are removed. From remaining $40$ cards two are drawn randomly without replacement, then probability of drawing a pair (same denominations) is

A bag contains $6$ red, $5$ white and $4$ black balls. Two balls are drawn. The probability that none of them is red, is

Assume that each born child is equally likely to be a boy or a girl. If two families have two children each, then the conditional probability that all children are girls given that at least two are girls is

Let $A$ denote the event that a $6 -$digit integer formed by $0,1,2,3,4,5,6$ without repetitions, be divisible by $3 .$ Then probability of event $A$ is equal to :