Tim wrote a seven -digit phone number on a piece of paper he later tore paper accidentally and the last two digits were lost.what is the maximum number of arrangements of two digits, using the digit 0 through 9, that he could use in attempting to reconstruct the correct phone number?

- anonymous

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- anonymous

we wiil use the ncr or the npr and why

- anonymous

and how

- anonymous

So, there are 10 digits that could go in the first spot and there are 10 digits that could go in the second spot. 10 X 10 is equal to what?

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## More answers

- anonymous

what is the meaning of 0 through 9

- anonymous

Its basically saying how many combinations can you get with the numbers 0 through 9. Order does matter since this is a telephone number. With 0 as the lead coefficeint you can have:
0 0
0 1
0 2
0 3
0 4
0 5
0 6
0 7
0 8
0 9
So you can have 10 combinations when 0 is the lead. Well you will get 10 more when 1 is the lead, 2 is the lead, 3 is the lead, 4 is the lead, 5 is the lead, 6 is the lead, 7 is the lead, 8 is the lead, and 9 is the lead. Add them all up and you get 100.

- anonymous

You get it?

- anonymous

i get your think but i want to know can i do it by calc using the npr or the ncr

- anonymous

too much work
there are 100 two digit numbers
use nothing but common sense

- anonymous

and if i do it by the npr its come 90 not 100

- anonymous

You don't need npr or ncr it's a logic question... very simple question at that.

- jim_thompson5910

You can also think of a 10x10 table (10 rows, 10 columns)
so there would be 10*10 = 100 entries. The entries would be this sequence
00,01,02,...,97,98,99

- anonymous

Yes exactly it's so simple that using something so complex will give you the wrong answer

- anonymous

Trust me I had this same question Last Year and made the same mistake you did.

- anonymous

but i need to know bec the my mr asking me i will use the ncr or the npr or none

- anonymous

i said to him none

- anonymous

Yes you won't use it because none is required

- anonymous

ok thnak u @shelbygt520

- anonymous

u are the best

- jim_thompson5910

npr and ncr are only used if repeated digits are NOT allowed
but in this case, a phone number like 555-0202 is possible. So repeated digits are allowed

- anonymous

and u too@jim_thompson5910

- jim_thompson5910

no problem

- anonymous

No probs.

- anonymous

ok bie friends

- anonymous

sorry but can i use the digit 10 @shelbygt520

- anonymous

or only 123456789

- anonymous

and 0

- anonymous

No because you are only aloud to use digits 0 through 9 or 0123456789

- anonymous

ok but if i aloud the 10 they wiil be 11*11

- anonymous

write or wrong

- jim_thompson5910

"10" is composed of "1" and "0"
shelbygt520 has the right idea

- anonymous

no because 10 would be 2 digits making it impossible to use it and another digit so you would essentially end up with 101

- anonymous

although as @jim_thompson5910 said 10 is composed of the digits 1 and 0 making it a combination within itself.

- anonymous

unto*

- anonymous

oh ya thanks friends

- anonymous

so the q can write as how many 2-digits formed from 0,1,2,3,4,5,6,7,8,9 @shelbygt520

- anonymous

write or wrong

- anonymous

@jim_thompson5910

- anonymous

what i writ wrong or write

- jim_thompson5910

yeah how many ways to make a 2 digit number

- anonymous

can i write it like this so the q can write as how many 2-digits formed from 0,1,2,3,4,5,6,7,8,9 write or wrong

- anonymous

@jim_thompson5910

- jim_thompson5910

yeah that's one way to think of it
how many ways to form a 2 digit number

- jim_thompson5910

the other digits of the phone number don't matter

- anonymous

thank u @jim_thompson5910

- jim_thompson5910

sure thing

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