The number of ways in which three distinct numbered in an increasing A.P. can be selected from the set {1,2,3……24} is

Statement 1: The number of ways in which three distinct numbers can be selected from the set {3^1,3^2,3^3, ,3^(100),3^(101)} so that they form a G.P. is 2500. Statement 2: if a ,b ,c are in A.P., then 3^a ,3^b ,3^c are in G.P. (a) Statement 1 and Statement 2, both are correct. Statement 2 is the correct explanation for Statement 1 (b) Statement 1 and Statement 2, both are correct. Statement 2 is not the correct explanation for Statement 1 (c) Statement 1 is correct but Statement 2 is not correct. (d) Both Statement 1 and Statement 2 are not correct.

If N is the number of ways in which 3 distinct numbers canbe selected from the set {3^1,3^2,3^3, ,3^(10)} so that they form a G.P. then the value of N//5 is ______.

Given that n is the odd the number of ways in which three numbers in A.P. can be selected from {1,2,3,4….,n} is

Number of ways in which three numbers in A.P. can be selected from 1,2,3,..., n is a. ((n-1)/2)^2 if n is even b. n(n-2)/4 if n is even c. (n-1)^2/4 if n is odd d. none of these

Find the number of ways in which one or more letters can be selected from the letters PPPQQQQRRRRRSTUV.

The number of ways can five people be divided into three groups is

Total number of relations that can be defined on set A = {1,2,3,4} is

Total number of relations that can be defined on set A={1,2,3,4} is

There are 10 different books in a shelf. The number of ways in which three books can be selected so that exactly two of them are consecutive is

If a ,b ,c are three distinct real numbers in G.P. and a+b+c=x b , then prove that either x 3.