Posted by **Samir** on Monday, January 21, 2008 at 8:48pm.

1:There are 7 seats in the family new van. if 4 of the 7 family members can drive,how many possible seating arrengements are there for a family trip in the van?

2:How many even five digit numbers can be formed using only the numbers through 1 and 7?

- Data managment math -
**Damon**, Monday, January 21, 2008 at 9:19pm
first the driver in the driver seat

4 possible

that leaves three with the other three to choose the other six seats. How many arrangements of those six people?

the first one has 6 choices, the second 5 choices .....

6*5*4 etc or 6!

so 4 * 6!

even ends in 2 , 4 , 6

so the fifth digit must be 2, 4, or 6

the fourth must be 1, 2 , 3 , 4 , 5 ,6 , 7 seven choices

the third - 7 choices

the second -- 7 choices

he first - 7 choices

so

2 * 7^4

- Typo -
**Damon**, Monday, January 21, 2008 at 9:28pm
3*7^4

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