Question

how many different 4 digit numbers can be formed from digits 2,3,4,6. how many of these numbers are divisible by 4

Answer 1

Dear Student,

For a number to be divisible by 4, the last 2 digits should be divisible by 4.
$$\begin{gathered} Hencefromthegivendigits,2,3,4,6thepossiblecombinationswherelasttwodigitsaredivisibleby4are \\ 24,32,36,64 \\ theinitial2digits(\_\_)(\_\_)canbefilledbytheremainingtwodigitsaftertheselectingtheabovecombination. \\ Hencetotalnumbersthatcanbeformedar \\ 2\times 4=8 \\ ex-3624,6324,4632,6432,2436,4236,2364and3264 \end{gathered}$$

Regards,