A recording artis plans to place six songs on her new CD. i) In how many ways ca
ID: 3150199 • Letter: A
Question
A recording artis plans to place six songs on her new CD. i) In how many ways can she order these songs? ii) In how many ways can She order these songs if she has already chosen the first and last selections? 9) A piano has 88 keys. A pianist plays a chord by striking multiple distinct keys simultaneously. i) Assuming that your fingers are made of rubber and it was therefore possible to reach any 10-key chord, how many such chords are there? ii) A standard octave contains 12 keys. Triad chords require three keys to be struck simultaneously. Ignoring how agreeable the sound will be, in how many ways can a triad be played within a single octave? 10) In 1992, the Mattel toy company introduced a talking Teen Barbie doll. The company had compiled a collection of 270 possible expressions for Barbie to "speak". To make the dolls appear more individually distinct, Mattel randomly chose four of the 270 possibilities for any particular doll. i) How many distinct dolls could they manufacture? ii) Suppose one of the 270 statements is considered to be undesirable!. How many distinct dolls contain the undesirable statement among their four exclamations? 11) A fletcher is making some arrows. Each arrow has three feathers on the tail end spaced at 120degree intervals around the shaft. The feathers come in four colors: red, blue, yellow, and green. How many visually distinct patterns are there if a color can be used in more than one position on an arrow? Assume that rotating the arrow in any direction (including end-to-end) does not result in a different pattern, but changing colors does.Explanation / Answer
8.
i.
There are n! ways to order n objects, so here, there are
6! = 720 ways [ANSWER]
********************
ii.
Then we can only order the middle 4 songs. Hence, there are
4! = 24 ways [ANSWER]
*******************************************
Hi! Please submit the next part as a separate question. That way we can continue helping you! Please indicate which parts are not yet solved when you submit. Thanks!