#1

    How many consecutive zeros (0) are immediately to the left of the decimal point in  25 !  ?

#2

    Suppose  KIM  decides to select three sodas (from his existing soda menu) to list as Specials each day (see lower left corner of menu). How many different displays of soda names could  KIM  create on his menu board?

#3

   In the dentist's reception area are 5 adult men, 6 adult women, 2 boys, and 4 girls. (a) How many choices are there for the next patient to be called? (b) How many ways are there to select a group of four people that contains one adult man, one adult woman, one boy, and one girl? (c) How many ways are there to arrange four people of one adult man, one adult woman, one boy, and one girl in the four examination rooms in the office?

#4

   How many odd integers from 1000 to 9999 (inclusive) have distinct digits?

#5

(a) How many ways can a 5-card poker hand be dealt?

(b) How many different 5-card poker hands exist?

#6

   How many ways exist to place the integers {1,2,3,...,15} on an 8-by-8 checkerboard?

#7

   How many 7-digit numbers exist such that the digits 5 and 6 do not appear consecutively, in either order, and (1) we use the digits 1,2,3,...,9 and (2) the number's digits are distinct?

#8

   For 25 points, no three collinear: (a) How many straight lines are determined? (b) How many triangles are determined?

#9

   A classroom has 2 rows, each with 8 seats. Of 14 students, 5 always sit in the front row, 4 always sit in the back row, and the rest sit in either row. How many ways can the students be seated?

#10

   OCU  has 1750 students. How many unique 10-student committees can be formed from the student body?

#11

   An  OCU  organization includes 30 faculty and 30 students. (a) How many ways can a committee of 8 people be selected so that it includes at least three faculty and at least three students? (b) How many ways can a committee of 8 people be selected so that at least one of the eight is a faculty?

#12

   How many consecutive zeros (0) are immediately to the left of the decimal point in  52 !  ?

#13

   Provided an adequate supply of flags in each of seven colors, how many ways are there to arrange a 5-flag set ?

#14

   What is the number of necklaces that can be made from 10 beads?

#15

   (a) How many arrangements are there for three men and three women at a round table? (b) What if no two women can be in adjacent seats? (c) Assume that the six people represent three male-female couples. How many arrangements around the table are there if no couples may sit adjacent to each other?