Mrs. Hernandez wants to put picture of each of her 3 grandchildren on a shelf above her desk. In how many ways can she line up the pictures?
2006-09-13 14:48:57 · 5 answers · asked by Elizabeth C 1 in Politics & Government ➔ Other - Politics & Government
I think it should be 3 X2 =6 times
2006-09-13 14:53:10 · answer #1 · answered by Rammohan 4 · 0⤊ 0⤋
6
2006-09-13 14:58:24 · answer #2 · answered by Anonymous · 0⤊ 0⤋
Well, for the first one, she has three choices. After she puts the first one in place there are only two choices. After two are in place there's only one choice left. That's where the 3x2 comes from. Or you can think of it as 3x2x1, which is also known as three factorial, which you can write with the numeral and an exclamation mark after it, like... 3!
5! would be 5x4x3x2x1=120
With just 3 items, you can also get three things and try it out and check that the answer is 6. That can also help you see how for each different choice for the first one there are two different choices for the next two and that's where the 3x2 comes from.
2006-09-13 15:01:33 · answer #3 · answered by sailing_orienteer 3 · 0⤊ 0⤋
If you are using the ! factorial, it would be 3! which is 3x2x1. If you are not yet using factorials, you know that in the first position, there can be three choices. After that one is chosen, only two remain. So two can go in the second position. After that picture is chosen, only one remains. So the first position times the second, times the third. 3x2x1
2006-09-13 14:58:00 · answer #4 · answered by weebat 3 · 0⤊ 0⤋
Well, let's see..... I am coming up with 6 combinations.
Using A, B and C (1 letter for each grandchild) here is what I have:
ABC
ACB
BCA
BAC
CAB
CBA
How's that for a place to start?
2006-09-13 14:58:35 · answer #5 · answered by tessasmomy 5 · 0⤊ 0⤋