Example: the probability of the intersection of three events factorizes but pairwise independence does not hold

Question

Let us consider three events A,B,C.

We know that they are mutually independent iff:

1) $$P(A\cap B) = P(A)P(B)$$ $$P(B\cap C) = P(B)P(C)$$ $$P(C\cap A) = P(C)P(A)$$

2) $$P(A\cap B\cap C) = P(A)P(B)P(C)$$

Is there any example in which the condition 2) is satisfied but the 1) is not? Can you help me with this, please?