Ashaunte was given the following set of data about 37 college women and invitations to join social organizations: 20 received invitations for alpha pi; 21 for beta zeta; 12 for gamma iota; 10 for alpha pi and beta zeta; 5 for beta zeta and gamma iota; 9 for alpha pi and gamma iota; and 5 received no invitations. she was asked to determine how many women were invited to join all three organizations and how many were invited to join alpha pi and beta zeta but not gamma iota. can you determine the numbers she needs?