M4 expected values company (1) Excel Fle Insert Page Layout Formulas Data Review

Question

M4 expected values company (1) Excel Fle Insert Page Layout Formulas Data Review View Help Tell me what you want to do Cut Copy Format Painter I U Insert Di nee ,Merge & Center. $.% ,an conditional porn at".Cul Formatting TableStyles Styles Font Number 15 Complete the following questions: 1) How many 6-character passwords can be generated using one letter from a to h and 5 numbers from 1 to 9? 2) How many ways can you choose a complete dinner from a menu that allows you to pick from 2 salads, 3 entrees, and 2 desserts? 8 3) How many ways can you pick a committee of 16 students from a class of 30 students? 10 11 4) How many ways can you pick a president, vice president, secretary,&treasurer; from a club of 8 people? 4 5) How many ways can you make a line-up for a music festival if you can have 5 bands play out of 10 bands who applied to playi? 17 6) How many ways can you pick 3 essay questions to answer on a test that offers 7 essay questions to pick from? 18 19 20 7) A local company has determined the number of machine breakdowns Sheet1 O type here to search

Explanation / Answer

1. 6 character password:

Since we need one letter from a to h . There are total 9 letters.

Number of ways of selecting any one letter : 9C1

Five characters from numbers 1 to 9. Number of ways of selecting 5 from 9 numbers are : 9C5

Hence numbers of ways of generating a password: 9C1 * 9C5 = 9 * 126= 1134ways

2. No. of ways choosing a complete dinner: 2C1 * 3C1*2C1 = 2*3*2 =12 ways

3.Number of ways of picking 16 from 30 students of a class : 30C16

4.Number of ways of selecting 4 positioned members out of 8 : 8C4

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