A junior high girls basketball team is to consist of 5 playe

A junior high girls\' basketball team is to consist of 5 players. How many different teams can the manager select from a roster of 10 girls?

Solution

Solution:

Its a problem on combinations.

Number of combinations of n things taken r at a time n_C r

n_Cr =n!/(n-r)!r!

here n=10 girls

r=5

10C5=10!/(10-5)!5!

=10.9.8.7.6.5.4.3.2.1/(5.4.3.2.1)(5.4.3.2.1)

=252 different teams

therfore manager can select 252 different teams