The student body has 190 students. In how many ways
can it elect a president, vice-
president, secretary?

6751080 different ways

Step-by-step explanation:

President: 190 choices

Vice president 189 choices

secretary: 188 choices

190*189*188 =6751080 different ways

given that triangle abc is transformed two times to get triangle

a"b"c"

first abc is transformed in to a'b'c' as follows:

the coordinates of a are (1,-1) and transformed into a'(-1,1)

similarly b (4,-2) became b'(-4,2) and

c(7,-2) became c'(-7,2)

i.e. (x,y) becomes (-x,-y)

this is nothing but reflection about a point here origin.

thus first transformation is reflection on the origin.

next is exactly shifting 3 units down

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