Question

1. In how many ways can the three offices of CEO, secretary, and treasurer be fille from a committee of 8 people? 2. How many different 8 letter sequences (or \"words\") can be formed that use all the letters of the word DESSERTS? 3. John has a bag of marbles, the bag contains 4 red, 6 black, 3 green, 7 white marbles. If John draws 3 marbles at once: a) How many ways can he draw 3 black marbles? b) How many ways can he draw 3 nonblack marbles?

          1. In how many ways can the three offices of CEO, secretary, and treasurer be
fille from a committee of 8 people?
2. How many different 8 letter sequences (or \"words\") can be formed that use all the
letters of the word DESSERTS?
3. John has a bag of marbles, the bag contains 4 red, 6 black, 3 green, 7 white
marbles. If John draws 3 marbles at once:
a) How many ways can he draw 3 black marbles?
b) How many ways can he draw 3 nonblack marbles?

1. In how many ways can the three offices of CEO, secretary, and treasurer be
fille from a committee of 8 people?
2. How many different 8 letter sequences (or ẅords)̈ can be formed that use all the
letters of the word DESSERTS?
3. John has a bag of marbles, the bag contains 4 red, 6 black, 3 green, 7 white
marbles. If John draws 3 marbles at once:
a) How many ways can he draw 3 black marbles?
b) How many ways can he draw 3 nonblack marbles?

Added by Judy P.

Elementary and Intermediate Algebra

Alan S. Tussy, R. David Gustafson 5th Edition

Instant Answer

Solved by Expert Jerelyn Nevil

Step 1

For the first office of CEO, there are 8 choices. Once the CEO is chosen, there are 7 people left for the position of secretary. After the secretary is chosen, there are 6 people left for the position of treasurer. So, the total number of ways to fill the three Show more…

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1. In how many ways can the three offices of cEO, secretary, and treasurer be filled from a committee of 8 people? 2. How many different 8 letter sequences (or "words") can be formed that use all the letters of the word DESSERTS? 3. John has a bag of marbles, the bag contains 4 red, 6 black, 3 green, 7 white marbles. If John draws 3 marbles at once: a) How many ways can he draw 3 black marbles? b) How many ways can he draw 3 nonblack marbles?