How many numbers lying between 1000 and 2000 and divisible by 5 can be made with the digits 1, 2, 3, 5, 7 and 9? (Digits are not to be repeated in any number).
How many numbers lying between 1000 and 2000 and divisible by 5 can be made with the digits 1, 2, 3, 5, 7 and 9? (Digits are not to be repeated in any number).
Option 1 -
18
Option 2 -
24
Option 3 -
16
Option 4 -
12
-
1 Answer
-
Correct Option - 4
Detailed Solution:Every number between 1000 and 2000, which is divisible by five and which can be formed by the given digits, must contains 5 in unit's place and 1 in thousand's place. Thus we are left with four digits out of which we are to place two between 1 and 5, which can be done in 4P2 = 12 ways. Hence, 12 numbers can be formed.
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