mrs hammond is taking a picture of her 4 children. she wants them to stand in a row, one next to the other . how many different ways can they be arranged for the picture?
this is 7th grade math and my teacher gets supper pissed when you dont show your work so can you tell me how you got it.
thx in advance
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Verified answer
its 24 different ways (1,2,3,4) ( 4!=4factorial)
1,2,3,4
1,2,4,3
1,3,2,4
1,3,4,2
1,4,2,3
1,4,3,2
2,3,4,1
2,3,1,4
2,4,1,3
2,4,3,1
2,1,3,4
2,1,4,3
3,4,2,1
3,4,1,2
3,2,1,4
3,2,4,1
3,1,4,2
3,1,2,4
4,3,2,1
4,3,1,2
4,2,3,1
4,2,1,3
4,1,2,3
4,1,3,2
Ok
Child 1 is A
Child 2 is B
Child 3 is C
Child 4 is D
So your question is how many combinations of A,B,C,D are possible?
The answer is 4 factorial or 4x3x2x1 = 24.
It is written 4! =24.
Hope this helps.
4 children can be arranged in a row in P(4) different ways
so the desired answer=P(4)=4!=24 ANS.