Question

The magician, The Great Ziginy, is planning his next world tour. He knows a total of 7 different illusions but he only has time to perform 4 of them at any show. The Great Ziggy does not want any two of his shows to be identical, so they cannot contain the same 4 illusions in the same order. What is the most number of cities The Great Ziggy can visit and perform at on his tour?+

Answer 1

7^4=2401, that's the answer

Answer 2

wrong....the correct answer is 840

Answer 3

C(7,4) = 7*6*5*4 = 840

Answer 4

C(7,4)=35*4!=840
AS No of ways he can select 4 out of 7 is 35 and each he can arrange in different order in 4! ways.