Combinations and Permutations Worksheet 1 1. The school board has seven members
a. The board must have three officers: a chairperson, an assistant chairperson, and a secretary. How many different sets of these officers can be formed from this board?
b. How many three-person committees can be formed from this board?
c. Is part (a) asking for a number of permutations or a number of combinations? What about part (b)?
d. How are your answers to parts (a) and (b) related? ​

Since opening night, attendance at play a has increased steadily, while attendance at play b first rose and then fell. equations modeling the daily attendance y at each play are shown below, where x is the number of days since opening night. on what day(s) was the attendance the same at both plays? what was the attendance? play a: y = 8x + 191 play b: y = -x^2 + 26x + 126 a. the attendance was never the same at both plays. b. the attendance was the same on day 5. the attendance was 231 at both plays on that day. c. the attendance was the same on day 13. the attendance was 295 at both plays on that day. d. the attendance was the same on days 5 and 13. the attendance at both plays on those days was 231 and 295 respectively.

For what values of the variable x is the expression square root of 7x+14+ square root of 7-x a real number?

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