"possibility of choosing" is correct and usable in written English.
You can use it when speaking about the option to choose from a selection of different things. For example, "The shop offers a wide range of clothing styles, giving you the possibility of choosing something that suits your individual style."
You have also inherited the possibility of choosing how you want to confront it".
"But we're widening options by offering Hyundai the possibility of choosing another fate".
Cunningham's Laura reads just this passage in a Los Angeles hotel room as she thinks about the possibility of choosing death and chooses living.
But for the Taiwanese there's the possibility of choosing to be Taiwanese," a process that allows meaningful cultural differences while being a part of the nation, he said.
Only when you can tell the difference between good and evil do you start to have the possibility of choosing between them.
When was the last time a candidate turned to his own party for a running mate only after exhausting the possibility of choosing a man from the opposing team?
Q. College students can have the choice to vote in their college town instead of their hometown, with the possibility of choosing a battleground state over a safe state.
What the Americans have brought is freedom in their bodies, the idea that there are possibilities of choosing different ways of moving.
We investigate possibilities of choosing an activation policy of discrete scanning sensors in such a way as to maximize the accuracy of parameter estimation of a distributed system defined in a given multidimensional domain.
Since the possibilities of choosing material with required acoustic impedance are limited (the counted values cannot always be realized and applied in practice) it is necessary to correct the differences between theoretical values and the possibilities of practical application of given acoustic impedances.
He escorts us through it into the deep thought-realms of the Working Writer as she struggles with the infinite possibilities, and perils, of choosing the next word, the next plot turn, the next confrontation with her own inevitably flawed but extraordinary muse.
