Chelsea Photograph
Math help? Data mangement?
The questions are Data Mangement questions…
Solve for n
1) 56 (nP3)= n+2P5
The n, 3, 2, and the 5 on the right hand side are small letters.
2)Amy, Brian, Chelsea, David, Ellie, Frank, Gloria are to stand in a line for a photograph. If they each face the photographer, in how many ways can they be arranged if:
a) the boys must be together.
b)The girl must be together.
Please help me. thank you in advance!
nP3 = (n) (n-1) (n-2)
(n+2) P 5 = (n+2) (n+1) * nP3
so (n+2)(n+1) = 56
and n = 6 (n+2 = 8, n+1 = 7)
There are 7 of them, and going by the names,
3 are boys (B, D, F) and 4 are girls (A, C, E, G).
If the boys are together there are are 4 girls + 1 boy-group:
5! * 3!
5! ways to place the girls and the boy-group
and 3! ways to arrange the boys within the group.
If the girls are together, there are 3 boys + 1 girl-group:
4! * 4!
(same idea as above, but with different numbers since overall, 4 girls and 3 boys)
Laura Kasischke – The Photograph Album in the Junk Shop
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