Three professors and 28 students wish to organize a club.

Three professors and 28 students wish to organize a club. To get funding, the club must submit a list naming a staff advisor (selected from the professors) and a three student club executive (chosen from among the students) consisting of a president, vice-president, and treasurer. How many different such lists are possible? Enter your answer without commas.
A research group consists of 4 professors and 26 students. A committee is to be formed consisting of 2 professors and 4 students. In how many different ways can the committee be selected? Enter your answer with no commas.
Choose the correct response for a DISCRETE probability situation (this is NOT a correction for continuity situation):

P( 8 < X < 23) =
Question 8 options:
P(x ≤ 23) − P(x ≤ 7)
P(x ≤ 23) − P(x ≤ 8)
P(x ≤ 22) − P(x ≤ 7)
P(x ≤ 22) − P(x ≤ 8)
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