document.write( "Question 1082115: A woman has award robe. containing 5. hats(red,bluegreen,blackandwhite),3pairsofslacks(black, blue and brown), 6 tops (yellow, red, blue, grey, white and purple) and 4 pairs of shoes (high heels, runners, sandals and thongs).
\n" ); document.write( "(i) How many different outfits are available to her, no matter how unfashionable some may be?
\n" ); document.write( "(ii) What is the probability of choosing an outfit that consists of any hat or top with sandals and a
\n" ); document.write( "black pair of slacks?
\n" ); document.write( "(iii) If the woman decides to throw out her most unfashionable piece of clothing from each of the four categories above. How many different outfits are available to her now?
\n" ); document.write( "(iv) The woman now has considerably fewer available outfits. She wishes to increases the number of available outfits by 33 1 %. What should she buy?
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(i) 5*3*6*4=360 different outfits.
\n" ); document.write( "(ii) 5*1*6*1=30, so 30/360 or 1/12 probability.
\n" ); document.write( "(iii)4*2*5*3=120 outfits.
\n" ); document.write( "(iv) she needs to increase the number by 1/3 (edited) or by 40, to 160. The way to increase by 1/3 is to increase whatever is 3 to 4, and that would be another pair of shoes. 4*2*5*4=160. \n" ); document.write( "

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