Satellite Office System is filling two executive positions from a pool of 4 women and 6 men. The probability that at least one woman will be selected is 0.6666667.

1. Need this problem completly worked out so i can understand it.
Affirmative action commitments by many organization have led to an increase in the number of
women in executive positions. Satellite Office System has vacancies for two executive that it
will fill from among four women and six men. WHat is the probabilty that at least one woman is
selected?
Solution
Total=4+6=10 SO the probability is 1- 2C6/2C10 =1 - (6*5/2)/(10*9/2)
=0.6666667