Math

posted by .

A speaker has a collection of 62 jokes. He uses 3 jokes in each speech.

Please help i got a is 37820 but really need help with part b

(a) In how many ways can he select 3 jokes for a speech?

How many speeches can he give without using a joke twice? (Round your answer down to the nearest whole number.)

• Math -

a) is correct

b) If I interpret it correctly

first speech: he has 62 jokes available
second speech: he has 59 jokes available
third speech: 56 jokes
....
nth speech: ≥ 3

so we have to find the number of terms in the arithmetic sequence
62, 59, 56 , .... , 3 or 2 or 1
a = 62, d=-3 , n = ? when term(n) = 3
a
term(n) = a+(n-1)d
3 = 62 + (n-1)(-3
-59 = -3n + 3
3n = 62
n = 62/3 = 20.666..

check:
term(21) = 62 -3(20) = 2
term(20) = 62 - 3(19) = 5

So he should be able to give 20 speeches, but on the 21st speech he would only have 2 jokes to tell

• Math -

I understand what you did but which one would i round it to the 20 speeches or 21 speeches?

• Math -

Well, your instructions were to round down to the nearest whole number.
As I said, for his 20th speech he would have 5 jokes left that he hasn't used yet, and he chooses 3 of those.
So on his 21st speech he only has 2 unused jokes, and would have to repeat one of the other jokes.

So without repeating any jokes, my answer would be 20 speeches.

Similar Questions

1. English

I'm doing a speech on Aussie Slang for English, but it has to be interesting, funny and keep peoples attention. I need help with incorporating jokes anf humour!
2. Jokes

I am in need for a funny joke which I need to add in my skit. Please give me your ideas, and with them I will try to make mine, thanks:-)
3. SOCIOLOGY

Check a school or public library or a nearby bookstore for a collection of jokes and humorous stories. How many stereotypes of minorities are in such books?
4. english

change to reported speech speaker a: eih she is coming! speaker s:who?
5. english

i need help finding jokes for my talent show
6. 4TH GRADE MATH

Wayne has told 34 fewer jokes than Anthony. Together, they have told one another 88 jokes. How many jokes did Wayne tell?
7. Health

Would laughing to jokes count as stress?
8. English

1. I tell great jokes. 1-2. I tell good jokes 2. I make great jokes. 3. I am a good joker. 4. i am a great joker. ----------------- Are they all the same in meaning?
9. Language Arts

Write a brief essay discussing the use of imagery in both "Grandma Ling" and "your little voice." Examine the ways in which each poem uses images to convey the emotions or attitudes of its speaker. How do Examine how the poem uses …
10. Englsh

1. Speaker 1 will make a speech supporting watching TV. 2. Speaker 1 will make a speech supporting the advantages of watching TV. 3. Speaker 2 will make a speech dissupporting watching TV. 4. Speaker 2 will make a speech supporting …

More Similar Questions