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

Question

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 (A) 15 (B) 21 (C) 30 (D) 42

Tardigrade Admin · Accepted Answer

<img class="img-fluid question-image" alt="image" src="https://cdn.tardigrade.in/img/question/mathematics/8d5eb423005be069f552dc74fa502b60-.png" /> x+y+z=5 ; x, y, z ≥ 0 Using beggar 00000 ∅ ∅ 7 C 2=21

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

15

21

30

42

$x + y + z = 5; x, y, z \geq 0$
Using beggar $00000\emptyset\emptyset$
$^{7} C_{2} = 21$

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

15

21

30

42

x+y+z=5;x,y,z≥0 Using beggar 00000∅∅ 7C2​=21

$x + y + z = 5; x, y, z \geq 0$
Using beggar $00000\emptyset\emptyset$
$^{7} C_{2} = 21$