.& committee of 4 men and 5 women, chosen from 8 men and 7 women combination Wri
ID: 3054087 • Letter: #
Question
.& committee of 4 men and 5 women, chosen from 8 men and 7 women combination Written Exercises Evaluate. c8, 3) 56 14-1 3. C(7,2) 21 Find the value of n in each of the following. 7. C(n, 12) C(30, 18) 30 Solve each of the following. 9. From a list of 12 books, how many groups of 5 books can be selected? 792 ll. Suppose there are 9 points on a circle. How many different 4-sided polygons can be formed by joining any 4 of these points? 126 13. How many different groups of 25 people can be formed from 27 people? 351 15. From a deck of 52 playing cards, how many different 5-card hands can have 5 cards of the same suit? 5148 A bag contains 4 red, 6 white, and 9 bluer selected to meet the following conditions? 17. All the marbles are white. 6 19. All the marbles are red. 0 21, Two must be blue. 4320 Prom a group of 8 men and 10 women, a committees can be formed if the committee 23. All are men. 56 There is 1 man and 4 women. 1680Explanation / Answer
1)
8C3 = 8 * 7 *6/3 *2 *1 = 56
9)
There are total 12 books we need to select 5 books from 12 books
Required groups = 12C5
= 12*11*10*9*8/5*4*3*2*1
= 792
11)
There are 9 points on a circle we need to selecty 4 points
Required possibility = 9C4
= 9 * 8 * 7 * 6/4*3*2*1
= 126
13)
There are total 27 people we need to make group of 25 people
Required groups = 27C25
= 351
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