State and explain whether or not a trust is created in each of the following situations:

a. A declares herself trustee of “the bulk of my securities” in trust for B.

b. A, the owner of Blackacre, purports to convey to B in trust for C “a small part” of Blackacre.

c. A deposits $100,000 in a savings bank. He declares himself trustee of the deposit in trust to pay B $50,000 out of the deposit, reserving the power to withdraw from the deposit any amounts not in excess of $50,000.