Statement 1: Number of ways of selecting 10 objects from 42 objects of which 21 objects are identical and remaining objects are distinct is `2^(20)dot` Statement 2: `^42 C_0+^(42)C_1+^(42)C_2++^(42)C_(21)=2^(41)dot`

Which of the following is not the number of ways of selecting n objects from 2n objects of which n objects are identical

Statement 1: When number of ways of arranging 21 objects of which r objects are identical of one type and remaining are identical of second type is maximum, then maximum value of ^13 C_ri s78. Statement 2: ^2n+1C_r is maximum when r=ndot

Find the value of ^20 C_0-(^(20)C_1)/2+(^(20)C_2)/3-(^(20)C_3)/4+dot

Find the sum of the series ^15 C_0+^(15)C_1+^(15)C_2++^(15)C_7dot

If n objects are arrange in a row, then the number of ways of selecting three of these objects so that no two of them are next to each other is a. "^(n-2)C_3 b. "^(n-3)C_2 c. "^(n-3)C_3 d. none of these

The sum of series ^(20)C_0-^(20)C1+^(20)C2-^(20)C3++^(20)C 10 is

Find the sum 2C_0+(2^2)/2C_1+(2^3)/3C_2+(2^4)/4C_3+........+(2^(11))/(11)C_(10)dot

The coordinates of a point which trisect the line segment joining the points P(4,2,-6) and Q(10,-16 ,6)

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

Using elementary transformations, find the inverse of the matrices [(2,1),(4,2)]