The number of 4 digit numbers formed using the digits $1, 2, 3, 4, 5, 6, 7$ which are divisible by 4 is

Question

The number of 4 digit numbers formed using the digits 1- 2- 3- 4- 5- 6- 7 which are divisible by 4 is100150200250

Toppr Admin · Accepted Answer

If number should be divisible by 4- last two digits should be divisibleby 4-xA0-So the last two digits can be-xA0-12-16-24-32-36-52-56-64-72-76-No- of ways -xA0- 5P2-xD7-10-200-

The number of 4 digit numbers formed using the digits $1, 2, 3, 4, 5, 6, 7$ which are divisible by 4 is
$100$
$150$
$200$
$250$

If number should be divisible by $4$ , last two digits should be divisible
by $4$ .

So the last two digits can be $12, 16, 24, 32, 36, 52, 56, 64, 72, 76.$

No. of ways $=$ $^{5} P_{2} \times 10 = 200.$

The number of 4 digit numbers formed using the digits 1,2,3,4,5,6,7 which are divisible by 4 is100150200250

If number should be divisible by 4, last two digits should be divisibleby 4. So the last two digits can be 12,16,24,32,36,52,56,64,72,76.No. of ways = 5P2×10=200.

The number of 4 digit numbers formed using the digits $1, 2, 3, 4, 5, 6, 7$ which are divisible by 4 is
$100$
$150$
$200$
$250$

If number should be divisible by $4$ , last two digits should be divisible
by $4$ .

So the last two digits can be $12, 16, 24, 32, 36, 52, 56, 64, 72, 76.$

No. of ways $=$ $^{5} P_{2} \times 10 = 200.$