C++: how to generate a bit array with t ones?

Given t and p, I need to generate a bit array b of dimension p with exactly t ones chosen randomly.

For example if t=5 and p=2, possible versions of b are:

[0,1,0,1,0]

[1,1,0,0,0]

[1,0,0,0,1]

And many others...Is there any easy way to create it in C++?

Note: it's important that the position where 1 appears are chosen randomly