Question

How mamy even number of four digits can be formed with the digits 0,1,2,3,4,5,6?

Answer 1

Answer:

Step-by-step explanation:

there are 7 digits we have and we must know that a number to be an even number it must be divisible by 2

therefore,

in the units place we have 0,2,4,6

i.e 4 choices

in the tens place we have al the 7 choices

in the hundreds place we have same 7 choices

but in the thousands place we have only 1,2,3,4,5,6

i.e 6 choices because putting 0 at this place we can't have a four digit number

so by multiplication theorem of counting

we can form 6×7×7×4 even numbers

i.e 1176