Data managment math

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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 -

    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 -

    3*7^4

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