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  4. Number of four digit number between 5000 and 6000 such that the thousand's digit is equal to the sum of the other three digit, is

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Q. Number of four digit number between 5000 and 6000 such that the thousand's digit is equal to the sum of the other three digit, is

Permutations and Combinations

Solution:

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$ x+y+z=5 ; x, y, z \geq 0$
Using beggar $00000 \emptyset \emptyset$
${ }^7 C _2=21$