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color green, red, blue and white? (b) The Hawaiian alphabet consists of 7 consonants and 5 vowels. How many three-letter words are possible if there are never two consonants together and if a word must always end in a vowel and letters can be repeated? (c) In a board of directors composed of 8 people, how many ways can one chief executive officer, one director, and one treasurer be selected? (d) How many ways can a foursome of 2 men and 2 women be selected from 10 men and 12 women?

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Ans wes- Haw aiion wods The Hawa iian ap phabel Consts te of 3 Constants and 5 vousels Hou mang thee-lett e γ wonds axe Pos si ble if these clbe nev r Con Sonants togethes and s arn a tuoa Cups d mus asend in a vouwe Giiven, A ettees uooad s is made witih Con Sonants and 5 Vowe mut be ends Con Sonan ts tget andi ith a vowed they axe 3 posibe ys hat is. 0) Fixst Pessible wy Consonant vowe 9 Suppose t place with a placewith o Vouwel and last place l twith Vouel aleady given The num bewaus Con sonant put in a 14 vowe place using consonants 2P,The nmbexvouoed pot in a 2nd place 0 tweys vouse pot in a 2nd place e The nombe of voel wys Vouwed pot in- o gd pace, using The totanmb ofpossi ble ways s i Second pessible uny ppse place fl with a voused nd fplace 則 uith a VourO and last place all uith vowe0 ale ady givm The numbes fwnys vauvel put in a ist plate using 5 voluels is 5p, S The nom be o ways Vouse0 put in a 2na Pace using 5 vowels is 6p12.5 The numbes nouse put place sing 5 Vouses ls sf, s The to tal m nombes posible ueys is(Iİİ)Thisa possible u . vowe consonant yow0 Suppose 1st place fill with al®u,dena place th a Consonent and t place with vau el alseady gven The numbex f ways I vouoel place using 5 vouwe is sP,s The nombea of Consonant ut ina2nd uin a st lace p using 7 Consonants is 9h= ne nm bey 01 ways I vowe 3d place using 5 Vauwes is sf5 The total numbesof p ossble wnys Faom (i) ) and (iu) The tota numbea of above al pessible put in a s is

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