Pls answer item numbers 2, 3, 4, 5, 6 and 7 thank u Exercise #3 (Portfolio)Answer the following.1. In how many ways can a committee of three be formed from a group of 10 members?2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the committeebe formed if (a) the dean must be in the committee? (b) any four will be chosen from the group? (c) the committeeconsists of teachers only?3. From a list of 40 teachers, 5 are to be promoted to subject area coordinator. In how many ways can this be done?4. A chef can prepare 20 different dinners. In how many ways can he select 6 of them for today's menu?5. A catering service offers 8 appetizers, 10 main courses, and 7 desserts. A banquet committee is to select 3appetizers, 4 main courses, and 2 desserts. How many ways can this be done?6. One serving of banana split contains three scoops of different flavors of ice cream, 3 different syrups, 2 differenttypes of nuts, and with or without whipped cream. How many different ways can a banana split be made if thereare 12 ice cream flavors, 8 syrups, and 4 types of nuts to choose from?7. Suppose 6 female and 5 male applicants have been successfully screened for 5 positions. In how many ways canthe following compositions be selected? (a) 5 people regardless of sex. (b) 3 females and 2 males; (c) at least 3females; (d) 4 females and 1 male; (e) 5 females.8. How many 4-person committees are possible from a group of 10 people including Francis and Jojo if (a) there areno restrictions? (b) both Francis and Jojo must be in the committee? (c) either Francis or Jojo (but not both) mustbe in the committee?9. Awarehouse receives a shipment of 20 computers, of which five are defective. Eight computers are then randomlyselected and then delivered to a store. In how many ways can the store receive (a) no defective computer? (b)three defective computers? (c) all five defective computers?10. A 5-card hand is dealt from a standard 52-card deck. How many ways (a) such hands are possible? (b) contain botha queen and a king? (c) contain 3 face cards and an 8? (d) contain only red cards?

Name: Pls answer item numbers 2, 3, 4, 5, 6 and 7 thank u Exercise #3 (Portf
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Description: Pls answer item numbers 2, 3, 4, 5, 6 and 7 thank u Exercise #3 (Portfolio)Answer the following.1. In how many ways can a committee of three be formed from a group of 10 members?2. At SSC, a four-person committee is chosen from 15 teachers and a dean

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2. At SSC, a four-person committee is chosen from 15 teachers and a dean. In how many ways can the committee be formed if (a) the dean must be in the committee? (b) any four will be chosen from the group? (c) the committee consists of teachers only?