Question

Among a banks 214 customers with checking or savingsaccounts, 189 have checking accounts, 73 have regular savingsaccounts, 114 have money market savings accounts, and 69 have bothchecking and regular savings accounts. No customer is allowed tohave both savings and money market savings accounts.

a.) How many customers have both checking and money marketsavings accounts?
b.) How many customers have a checking account but no savingsaccount?

Answer 1

a) 93 customers

b) 27 customers

Explanation:

Total number of customers (n) = 214

Checking (C) = 189

Regular Savings (R) = 73

Market Savings (M) = 114

Checking and Regular (C&R) = 69

a) The total number of customers is given by:

`n = C+R+M-C\cap R-C\cap M\\214=189+73+114-69-C\cap M\\C\cap M = 93`

93 customers have both checking and money market savings accounts

b) The number of customers with savings accounts is given by:

`C = C_(only) +C\cap R+C\cap M\\189=C_(only) +69+93\\C_(only) = 27`

27 customers have a checking account but no savings account.