The number of ways of forming the ordered pai | vedclass

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

Question

(C) To form an ordered pair $(p, q)$ such that $p > q$ from the set $S = \{1, 2, 3, \dots, 50\}$,we need to choose $2$ distinct numbers from the $50$

Vedclass · Accepted Answer

$1225$

Vedclass · Answer

(C) To form an ordered pair $(p, q)$ such that $p > q$ from the set $S = \{1, 2, 3, \dots, 50\}$,we need to choose $2$ distinct numbers from the $50$ available numbers.Let the chosen numbers be $x$ and $y$ where $x For any such pair,there is exactly one way to assign them to $p$ and $q$ such that $p > q$,which is $p = y$ and $q = x$.The number of ways to choose $2$ distinct numbers from $50$ is given by the combination formula $\binom{n}{r}$.Here,$n = 50$ and $r = 2$.Number of ways = $\binom{50}{2} = \frac{50 	imes 49}{2 	imes 1} = 25 	imes 49 = 1225$.

The number of ways of forming the ordered pairs $(p, q)$ such that $p > q$ by choosing $p$ and $q$ from the first $50$ natural numbers is

Similar Questions

If ${}^nC_{r-1}=330$,${}^nC_r=462$,and ${}^nC_{r+1}=462$,then $r$ is equal to

Out of $7$ consonants and $4$ vowels,the number of words consisting of $3$ consonants and $2$ vowels that can be formed is:

The number of values of $n \in N$ for which ${ }^{n+2} C_2 : { }^{n+3} C_1 = 4 : 2$ is

The number of ways in which $10$ persons can go in two boats so that there may be $5$ on each boat,supposing that two particular persons will not go in the same boat is

Vedclass Test Series

Exam Paper Generator

Online Exam Module