If p is true, q is true and r is false, what is the truth value of p∧(r∧~q)?

The given statement is p∧(r∧~q). Let's break it down:

1. p is true.
2. r is false.
3. ~q means 'not q'. Since q is true, ~q is false.

Now, let's substitute these values into the statement:

p∧(r∧~q) becomes true∧(false∧false).

In logic, an 'and' (∧) statement is only true if both parts of the statement are true. So, let's break this down further:

1. false∧false is false, because at least one part of the statement is false.
2. true∧false is also false, because at least one part of the statement is false.

So, the truth value of p∧(r∧~q) is false.