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`

Statement 1: The number of positive integral solutions of abc 30 is 27. Statement 2: Number of ways in which three prizes can be distributed among three persons is 3^(3)

The total number of ways in which 30 mangoes can be distributed among 5 persons is

The number of positive integral solutions of x_(1)*x_(2)*x_(3)=30 is

Number of ways in which 12 different things can be distributed in 3 groups, is

The number of ways in which 9 persons can be divided into three equal groups is

The number of positive integral solutions of the inequation (x+2)/(x+3)>1

For the equation X+Y+Z+W = 19, the number of positive integral solutions is equal to (A) The number of ways in which 19 identical things can be distributed among 4 persons so that each gets atleast one thing (B) The number of ways in which 15 identical things can be distrusted to 4 persons so that each person get any number of things. (C) 18C_3 (D) 22C_3

Statement-1: The number of non-negative integral solutions of x+y+z=40" is """^(43)C_(3) . Statement-2: The number of ways of distributing n identical items among r persons giving zero or more items to a person is ""^(n+r-1)C_(r-1)

" Number of ways in which "10" different toys can be distributed among two brothers in ratio "2:3" ,is "