There are 25 men and 20 women who belong to a club. an executive panel consisting of a president, vice president, secretary, and treasurer is being chosen. a) in how many ways cold the executive panel be chosen with no restrictions? b) in how many ways could the executive panel be chosen if it must include at least one woman and one man? c) in how many ways could the executive panel be chosen if the president and the vice president must have different genders?

d) 30 units^2

area of rectangle = l × b

we know,

length = 10 unit

breadth = 3 unit

applying the formula,

= l × b

= 10 × 3

= 30 unit^2

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2. angles qrt and qst both measures 156 degrees.

step-by-step explanation:  

we have been given a diagram of a circle and we are told that measure of arc qvt is 156 degrees.  

we can see from our given diagram that angle qrt and angle qst subtends to arc qvt.

since we know that angles subtended by the same arc at the circumference are always equal.

by angle subtended by same arc theorem, measure of angle qrt and angle qst will be equal to the measure of arc qvt.

therefore, angles qrt and qst both measures 156 degrees and 2nd statement is the correct choice.