how many different ways can you arrange the dancers?

Question

Holly,Paul,Anne and Jim are rehearsing a dance routine. How many different ways can you arrange the 4 dancers in a line if Anne must be first or second

Answer 1

Anne first:  three others follow in any order; 3P3 = 3! ways = 6

Anne  2nd: three other positions assigned in 3!ways = 6 ways.

 

TOTAL: 12 possible arrangements