Make an appointment vs. take an appointment

[Dolly]

Test No. incompl/elem-18 "Making an Appointment", question 5

My clients contact our office via email or phone and then we ......... an appointment.

(a) make
(b) take
(c) give
(d) do

Test No. incompl/elem-18 "Making an Appointment", answer 5

My clients contact our office via email or phone and then we make an appointment.

Correct answer: (a) make

Your answer was: incorrect
My clients contact our office via email or phone and then we take an appointment.
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Why is 'take' wrong when we generally use the term in our phone calls and we ask them to give us the appointment. When Doctors use it, 'please take appointment before coming' or at the office "Sir, can you please give me an appointment for tomorrow?"

[Alan]

Hi Dolly,

Let's clarify this. The people who arrange the appointment are said to MAKE the appointment. The people who accept the arranged appointment are said to TAKE the appointment.

Alan
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English as a Second Language
You can read my ESL story Phrasal Verbs/take