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.

Find the number of ways in which 16 constables can be assigned to patrol villages, 2 for each.

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 of writing 1400 as a product of two positive integers is 12. Statement 2: 1400 is divisible by exactly three prime factors.

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: 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.

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 shop there are five types of ice - creams available. A child buys six ice - creams. Statement-1 : The number of different ways the child can buy the six ice - creams is ""^(10)C_(5) . Statement 2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row.

Read the given statement and select the correct option. Statement 1: Tropical rainforests are disappearing fastly from developing countries such as India. Statement 2 : No value is attached to these forests because these are poor in biodiversity. (a) Both statement 1 and 2 are correct (b) Statement 1 is correct but statement 2 is incorrect (c) Statement 1 is incorrect but statement 2 is correct (d) Both statement 1 and 2 are incorrect.

Read the given statements and select the correct option. Statement 1 : Cow in india and Kangaroo in Australlia (both herbivores) are ecological equivalents. Statement 2: The organisms having smallar niche in different geographical regions are known as ecological equivalents.