A four digit number of distinct digits is formed by using the digits 2,3,4,5,6,7,8. The number of such numbers which are divisible by 25 , is

Question

A four digit number of distinct digits is formed by using the digits 2,3,4,5,6,7,8. The number of such numbers which are divisible by 25 , is (A) 60 (B) 40 (C) 20 (D) 15

Tardigrade Admin · Accepted Answer

The number will be divisible by 25 if it ends in 25 or 75. Therefore, the required number of numbers is ( 5 P2)(2)=40

Q. A four digit number of distinct digits is formed by using the digits $2, 3, 4, 5, 6, 7, 8$ . The number of such numbers which are divisible by 25 , is

60

40

20

15

The number will be divisible by 25 if it ends in 25 or 75. Therefore, the required number of numbers is
$(^{5} P_{2}) (2) = 40$

Q. A four digit number of distinct digits is formed by using the digits 2,3,4,5,6,7,8. The number of such numbers which are divisible by 25 , is

60

40

20

15

The number will be divisible by 25 if it ends in 25 or 75. Therefore, the required number of numbers is (5P2​)(2)=40

Q. A four digit number of distinct digits is formed by using the digits $2, 3, 4, 5, 6, 7, 8$ . The number of such numbers which are divisible by 25 , is

The number will be divisible by 25 if it ends in 25 or 75. Therefore, the required number of numbers is
$(^{5} P_{2}) (2) = 40$