Question

seven people are available to be cast in a play. the play has seven different characters. how many different casts may be formed?

A. 5040

B. 2520

C. 720

D. 1

Answer 1

Answer is A) 5040

Explaination :-

Since there are 7 different characters in a play and 7 people are available to be cast in a play ,

There are 7 ways to cast the 1st person

There are 6 ways to cast the 2nd person

There are 5 ways to cast the 3rd person

There are 4 ways to cast the 4th person

There are 3 ways to cast the 5th person

There are 2 ways to cast the 6th person

And there is only a single way to cast the 7th person

Therefore total number of different casts formed is given by,

7×6×5×4×3×2×1=5040 .