Question

$A$ and $B$ are friends. Ignoring the leap year, find the probability that both friends will have different birthdays is $\frac{m}{365}$.Find $m$

Answer 1

An year has 365 days.
So, total number of possibilities = 365*365

But, it is given that they should have different birthdays. So, Number of ways = ${}_2^{365}P$

Probability = $\frac{{}_2^{365}P}{{\left(365\right)}^2}$

=$\frac{364}{365}$

m=$364$