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Statement -I : Number of terms in the ex...

Statement -I : Number of terms in the expansion of `(x+y+z+w)^(50)` is `.^(53)C_(3)`.
Statement -II : Number of non- negative solution of the equation `p+q+r+s=50` is `.^(53)C_(3)`.

A

Statement -I is true , Statement -II is true and Statement -II is a correct explanation for Statement -I.

B

Statement -I is true , Statement -II is true but Statement -II is not a correct explanation of Statement -I.

C

Statement -I true , Statement -II is false .

D

Statement -I is false , Statement -II is true ,

Text Solution

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The correct Answer is:
A
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Statement 1: Number of terms in the expansion of (x+y+z+w)^(50) is ""^(53)C_3 Statement 2: Number of non-negative solution of the equation p+q+r+s=50 is ""^(53)C_3 (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.

Find the number of non-negative integral solutions of the equation x+y+z=10.

Knowledge Check

  • Statement -I: Number of zeroes at the end of 50! is equal to 12. Statement -II : Exponent of 2 in 50! is 47.

    A
    Statement -I is true , Statement -II is true and Statement -II is a correct explanation for Statement -I.
    B
    Statement -I is true , Statement -II is true but Statement -II is not a correct explanation of Statement -I.
    C
    Statement -I true , Statement -II is false .
    D
    Statement -I is false , Statement -II is true ,

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