True or false questions. clearly mark the box of your choice. we will use p(n, r) for the number of permutations of a set of n objects taken r at the time and c(n. r) for the number of combinations of a set of n objects taken r at the time. 1. the number of permutations of a set of 8 distinct elements is 4302. 2. p(10,4)-101/6! 3. p(4,1) p(4,3) 4. the number of combinations of ten objects taken five at the time is 252. 5. a lunch-time special offers three types of sandwiches, two types of soups and two desert options. the number of lunch choices of sandwich-soup-desert is 8 6. if n = 10 and m = 6, then c(nm) p(nm). 7. the number of distinguishable permutations of the letters in the word 'substitute is 101-30240. 5! 8. the sample space of the experiment that consists of drawing two cards from a full deck (52 cards in a full deck) with replacement has 522 elements. 9. ifs (hh tt, ht, ht) is the sample space of a two-coin toss, then the probability d of tossing a head and a tail in any order is 1/2. 10, a quality control department selects 100 ink-cartridges for inspection and places them ? ? in 12 bins, numbered 1-12 in no particular order, one corresponding to each inspector then one or more inspectors will have at least 9 cartridges to inspect

for the friend request.

when a figure, such as triangle (xyz) is reflected over the line y = x to create x'y'z' the x-coordinates and y-coordinates of the original image (pre-image) will be reversed for the image. (e.g., (x, y) > (y, x)) this means that the pre-image position of the x- and y-coordinates switch places which in turn provides a mirror like image of the original xyz.  

i notice that when i draw a line segment from x to x', that the points are parallel from each other -- they are exactly across from each other and do not intersect with any other points.  

yes, think i would see the same characteristic if you drew the line segment connecting y with the reflecting line and then y' with the reflecting line because of the essence of reflections. because it is a mirror image, each point was effected the same way which leads me to conclude that they same would apply to y and y'.

step-by-step explanation:

assume that you have 3 different side lengths.   apply the pythagorean theorem here:   square each of the two shortest sides; call them a and b, so that their squares are a² and b².   also square the longest side, calling the result c².

now, if a² + b² = c² is true, the triangle is a right triangle; otherwise it is not a right triangle.

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