Answer to Question #257839 in Algebra for lost

Question

Counting Principle:

Keeps the phone numbers of her seven best friends (4 women and 3 men) in her digital phone. In how many ways can she list them if all of the women are listed first?

I need to know how to work this problem please

Answer 1

the number of ways can she list them if all of the women are listed first

${4!}\times {3!}\\=(4 \times 3 \times 2 \times 1 ) \times ( 3 \times 2 \times 1)\\=24 \times 6\\=144$