, respectively. He also knows about the restrictions described in (b). If he gets three
chances to guess the middle two digits before the ATM “eats” the card, what is the
probability the thief gains access to the account?
(d) Recalculate the probability in (c) if the first and last digits are 1 and 1.
. The College of Science Council has one student representative from each of the five science
departments (biology, chemistry, statistics, mathematics, physics). In how many ways can
(a) Both a council president and a vice president be selected?
(b) A president, a vice president, and a secretary be selected?
(c) Two council members be selected for the Dean’s Council?