SOLUTION: How many ways can the six jokes about books be delivered if a man's joke is told first?

Algebra.Com
Question 620454: How many ways can the six jokes about books be delivered if a man's joke is told first?
Answer by Edwin McCravy(20055)   (Show Source): You can put this solution on YOUR website!
I will assume these are these six jokes about books that are to be delivered.

1. Little boy's joke about books.
2. Little girl's joke about books.
3. Teenage girl's joke about books
4. Teenage boy's joke about books.
5. Man's joke about books.
6. Woman's joke about books.

How many ways can the six jokes about books be delivered if a man's joke is told first?

We MUST choose the 1st joke only one way, the man's joke.
That's 1 way to choose the first joke.
We can choose the 2nd joke as any of the 5 remaining jokes.
That's 1*5 ways to choose the first two jokes.
We can choose the 3rd joke as any of the 4 remaining jokes.
That's 1*5*4 ways to choose the first three jokes.
We can choose the 4th joke as any of the 3 remaining jokes.
That's 1*5*4*3 ways to choose the first four jokes.
We can choose the 5th joke as either of the 2 remaining jokes.
That's 1*5*4*3*2 ways to choose the first four jokes.
We MUST choose the 6th joke as the only 1 remaining joke.
That's 1*5*4*3*2*1 ways to choose the five jokes.
 
Answer 1*5*4*3*2*1 = 120 ways.

Edwin

RELATED QUESTIONS

A comedian knows four jokes. One joke is old, one joke is new, and the other jokes are... (answered by ikleyn)
A comedian knows jokes. One joke is​ old, one joke is​ new, and the other jokes are... (answered by ikleyn)
A comedian knows eight ​jokes, four are about the weather and four are about... (answered by Boreal)
A comedian knows ​jokes, are about the weather and are about sports. In how many... (answered by ikleyn)
how many ways can six different books be arranged on a shelf if one of the books is a... (answered by stanbon)
How many ways can two books be selected from six if all of the books are different? Is... (answered by stanbon)
How many ways can six different books be arranged on a shelf if one of the books is a... (answered by fractalier)
How many ways can six different books be arranged on a shelf if one of the books is a... (answered by sudhanshu_kmr)
In how many ways can people select their two favorite jokes from a list of six jokes?... (answered by kasie)