Statement 1: Number of ways in which Indian team (11 players) can bat, if Yuvraj wants to bat before Dhoni and Pathan wants to bat after Dhoni is 11!/3!. Statement 2: Yuvraj, Dhoni, and Pathan can be arranged in batting order in 3! ways.

Statement 1: Number of ways in which India can win the series of 11 matches is 2^(10) . (if no match is drawn). Statement 2: For each match there are two possibilities, India either wins or loses.

Statement 1: Number of ways in which 30 can be partitioned into three unequal parts, each part being a natural number is 61. Statement 2; Number of ways of distributing 30 identical objects in three different boxes is ^30 C_2dot

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.

Find the number of ways in which 3 boys and 3 girls can be seated on a line where two particular girls do not want to sit adjacent to a particular boy.

Out of 8 sailors on a boat, 3 can work only on one particular side and 2 only on the other side. Find the number of ways in which the sailors can be arranged on the boat.

The number of ways in which 10 candidates A_(1),A_(2),A_(3),.........,A_(10) can be ranked so that A_(1) is always above A_(10) is

If N is the number of ways in which a person can walk up a stairway which has 7 steps if he can take 1 or 2 steps up the stairs at a time then the value of N//3 is _______.

Statement 1: The number of positive integral solutions of a b c=30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^3

In a conference 10 speakers are present. If S_1 wants to speak before S_2a n dS_2 wants to speak after S_3, then find the number of ways all the 10 speakers can give their speeches with the above restriction if the remaining seven speakers have no objection to speak at any number.

Find the number of ways in which 3 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.