Number of ways in which three numbers in A.P. can be selected from \( 1,2,3, \ldots, n \) is (a)...

Channel:
PW Solutions
Subscribers:
445,000
Published on ● Video Link: https://www.youtube.com/watch?v=x83ZLfMZubM


Duration: 9:58
0 views
0

Number of ways in which three numbers in A.P. can be selected from \( 1,2,3, \ldots, n \) is
(a) \( \left(\frac{n-1}{2}\right)^{2} \) if \( n \) is even
(b) \( \frac{n(n-1)}{4} \) if \( n \) is even
(c) \( \frac{(n-1)^{2}}{4} \) if \( n \) is odd
(d) \( \frac{(n-1)^{2}}{2} \) if \( n \) is odd
πŸ“²PW App Link - https://bit.ly/YTAI_PWAP
🌐PW Website - https://www.pw.live



Other Videos By PW Solutions


2023-07-03If a seven-digit number made up of all distinct digits \( 8,7,6 \), \( 4,3, x \) and \( y \) is ...
2023-07-03Ten persons numbered \( 1,2, \ldots, 10 \) play a chess tournament, each player playing against ...
2023-07-03How many different words can be formed using all the letters of the words HONOLULU if (no two al...
2023-07-03Number of 7 digit numbers if the sum of their digits is 59 , how many of these are divisible by ...
2023-07-03The total number of ways in which \( n^{2} \) number of identical balls can be put in \( n \) nu...
2023-07-03Let \( x_{1}, x_{2}, \ldots, x_{k} \) be the divisors of positive integer \( n \) (including 1...
2023-07-03Number of ways in which \( 5 B \) and \( 5 G \) can be seated on a circle alternately if a parti...
2023-07-03How many hexagons can be constructed by joining the vertices of a quindecagon (15 sides) if none...
2023-07-03When letters of any word are written in all possible ways using all letters of given word and th...
2023-07-03When letters of any word are written in all possible ways using all letters of given word and th...
2023-07-03Number of ways in which three numbers in A.P. can be selected from \( 1,2,3, \ldots, n \) is (a)...
2023-07-03A condolence meeting is being held in a hall which has 7 doors, by which mourners enter the hall...
2023-07-03There are \( p \) intermediate railway stations on a railway line from one terminal to another. ...
2023-07-03The number of ways to choose 7 distinct natural numbers from the first 100 natural numbers such ...
2023-07-03Consider a polygon of sides \( n \) which satisfies the equation, \( 3 \cdot{ }^{n} P_{4}={ }^...
2023-07-03The number of ways of choosing triplet \( (x, y, z) \) such that \( z \geq \max \{x, y\} \) and ...
2023-07-03The number of ways of choosing triplet \( (x, y, z) \) such that \( z\max \{x, y\} \) and \( x, ...
2023-07-03Let \( S=x_{1}+x_{2}+x_{3}+x_{4}+x_{5} \) and \( K=x_{1}+x_{2}+x_{3} \) then (a) Number of posit...
2023-07-03Number of ways in which 30 identical things are distributed among 6 persons is (a) \( { }^{17} C...
2023-07-03Which of the following statements are correct? (a) Number of words that can be formed with 6 of ...
2023-07-03A forecast is to be made of the results of five cricket matches, each of which can be a win, dra...