Correct spelling, explanation: this is the correct form as presence comes directly from an Old French word, so it is spelled the exact same way as its French origin. Therefore prescence is the wrong form, there are so reasons to add a “c” after “s”. Presence is the only correct form.

Definition of presence:
noun, being present
Her presence was very valuable for the course.
The company plans to expand its presence in the market.

Some collocations with presence:
acknowledge presence
physical presence
increasing presence

Phrases with presence:
make your presence felt/make your presence known
She certainly made her presence known at the meeting.
grace sb with presence (ironically)
Oh, look who graced us with their presence!

Incorrect spelling, explanation: prescence is wrong since the word presence is taken directly, with no changes, from Old French. There is no reason to spell it differently, so presence is the correct form.

Incorrect spelling

Incorrect spelling

Incorrect spelling

Incorrect spelling