The "ministering" word is diakonia in the Greek. Here is the same word in several places:
"But Martha was cumbered about much serving, and came to him, and said, Lord, dost thou not care that my sister hath left me to serve alone? bid her therefore that she help me."
Here Martha is doing the ministering.
Here, in Acts 1, the diakonia is distinct from apostleship.
"That he may take part of this ministry and apostleship, from which Judas by transgression fell, that he might go to his own place."
In 1 Corinthians 12 we're provided examples of diakonia given to "all men".
"And there are differences of administrations, but the same Lord. 6 And there are diversities of operations (diakonia), but it is the same God which worketh all in all. 7 But the manifestation of the Spirit is given to every man to profit withal. 8 For to one is given by the Spirit the word of wisdom; to another the word of knowledge by the same Spirit; 9 To another faith by the same Spirit; to another the gifts of healing by the same Spirit; 10 To another the working of miracles; to another prophecy; to another discerning of spirits; to another divers kinds of tongues; to another the interpretation of tongues: 11 But all these worketh that one and the selfsame Spirit, dividing to every man severally as he will."
Paul lists wisdom, word of knowledge, faith, healing, miracles, prophesy, and discerning. None of these are the doma gifts of leadership (apostle, prophet, evangelist, pastor, and teacher).
My point: leadership builds up the saints for the saints' ministries.... not the other way around. A father does not consume his children (like Cronus of Greek mythology). A father builds up his children so that they will be equipped for the purposes of God: their callings and ministries.
Also, if you look close at the Strongs, you'll see the Greek word eleemosynary. That is the word associated with the giving of alms, money.