A number of four different digits is formed with the help of the digits 1,2,3,4,5,6,7 in all possible ways. How many such numbers can be formed?

Options

A. Statement-1 is true, statement-2 is true, statement-2 is a correct explanation for statement-1
B. Statement-1 is true, statement-2 is true, statement-2 is not a correct explanation for statement-1
C. Statement-1 is true, statement-2 is false
D. Statement-1 is false, statement-2 is true

Answer

C

Explanation

For the number of exactly divisible by 4, then last two digits must be divisible by 4, the last two digits are 12,16,24,32,36,52,56,64,72,76. toal 10 ways.
Now, the remainingg two first places on the left of 4 digit numbers are to be filled from remaining 5 digits and this can be done in `.^(5)P_(2)=20` ways.
`therefore`Required number of ways=20`xx10`=200
hence, statement-1 is false and statement-2 is true.