Q; Fourteen family members have a one-on-one video chat with each other..

Question

1.Fourteen family members

have a one-on-one video chat with each

other to wish each person happy new year.

a) Is this situation a permutation or a

combination? Explain.

b) How many video chats will occur?

Express your answer using standard

combinatorial notation and then

evaluate.

Please explain and show steps.

Answer 1

Actually it is neither a combination nor a permutation. It is an arithmetic series.

The first person to wish, wishes to 13 people

The second person to wish, wishes to 12 people

The third person to wish, wishes to 11 people

Can you continue the pattern, add up the wishes. and answer?