How many numbers can be made with the digits 3,4,5, 6,7,8 lying between 3000 and 4000 which are divisible by 5 whereas repetition of any digit is not allowed in any number?

Question

How many numbers can be made with the digits 3,4,5, 6,7,8 lying between 3000 and 4000 which are divisible by 5 whereas repetition of any digit is not allowed in any number? (A) 60 (B) 12 (C) 120 (D) 24

Tardigrade Admin · Accepted Answer

3 must be at 1000 th place because the number should be divisible by 5, or 5 must be at unit place. Now, we have to fill two places (10 and 100), that is, 4 P2=12

Q. How many numbers can be made with the digits $3, 4, 5$ , $6, 7, 8$ lying between $3000$ and $4000$ which are divisible by $5$ whereas repetition of any digit is not allowed in any number?

60

12

120

24

$3$ must be at $1000 t h$ place because the number should be divisible by $5,$ or $5$ must be at unit place.
Now, we have to fill two places ( $10$ and $100$ ), that is, $^{4} P_{2} = 12$

Q. How many numbers can be made with the digits 3,4,5, 6,7,8 lying between 3000 and 4000 which are divisible by 5 whereas repetition of any digit is not allowed in any number?

60

12

120

24

3 must be at 1000th place because the number should be divisible by 5, or 5 must be at unit place. Now, we have to fill two places (10 and 100), that is, 4P2​=12

Q. How many numbers can be made with the digits $3, 4, 5$ , $6, 7, 8$ lying between $3000$ and $4000$ which are divisible by $5$ whereas repetition of any digit is not allowed in any number?

$3$ must be at $1000 t h$ place because the number should be divisible by $5,$ or $5$ must be at unit place.
Now, we have to fill two places ( $10$ and $100$ ), that is, $^{4} P_{2} = 12$