Find the number of possible outcomes if the numbers 1 through 7 are written on different pieces of paper and placed in a hat. Two of these numbered pieces of paper are selected without replacement, and a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 42

Step-by-step explanation:

Given that :

the numbers 1 through 7 are written on different pieces of paper; &

Two of these numbered pieces of paper are selected without replacement;

Also,

a 2-digit number is formed using the first number drawn in the tens place and the second number drawn used in the ones place.

Then:

if the first number drawn is 1 , then the possible outcomes will be :

12,13,14,15,16,17

If the  first number drawn is 2; then the possible outcomes will be:

21,23,24,25,26,27

If the  first number drawn is 3; then the possible outcomes will be:

31,32,34,35,36,37

If the  first number drawn is 4; then the possible outcomes will be:

41,42,43,45,46,47

If the  first number drawn is 5; then the possible outcomes will be:

51,52,53,54,56,57

If the  first number drawn is 6; then the possible outcomes will be:

61,62,63,64,65,67

If the  first number drawn is 7; then the possible outcomes will be:

71,72,73,74,75,76

The number of the possible outcomes are:

12,13,14,15,16,17

21,23,24,25,26,27

31,32,34,35,36,37

41,42,43,45,46,47

51,52,53,54,56,57

61,62,63,64,65,67

71,72,73,74,75,76

The total number of possible outcomes = 7 × 6 = 42

use google you idiot omg you're so annoying

step-by-step explanation:

answer:

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

explanation:

service only with 20% tip  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

in the opening of the question the word 'service' is associated only with the pretax value.

the closing part of the question asks: how much did she pay for the  

service

−−−−−−  

so technically the answer is  

→

$

72.6

(

1

+

20

100

)

=

$

87.12

however, the intention of the question provider may have been that your answer is to be  

$

87.12

(

1

+

8

100

)

=

$

94.09

to 2 decimal places.

'

payment just for service  

→

$

87.12

payment for service including tax

→

$

94.09

tony b

mar 21, 2017

answer:

trying to explain it another way

explanation:

service charge  

.

→

$

72.60

20% tip  

20

100

×

$

72.60

=

$

14.52

−−−−−−  

←

add

$

87.12

tax  

8

100

×

$

87.12

=

$

6.97

−−−−−  

←

add

$

94.09

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