[MOVED] Try to get 1.8,2,3,7 to equal 24 useing only....

G

Guest

Guest
try get

1.8,2,3,7

to equal 24

only useing addition,subtraction,mutiplication,and division

thank you sooooo much
 
Are you sure it's "1.8"? What have you tried? How far have you gotten?

Thank you.

Eliz.
 
If a = 9/5, and 2, 3, 7, only 4 arrangements work.

1) (7-2)x(3+a)
2) (3+a)x(7-2)
3) (a+3)x(7-2)
4) (7-2)x(a+3)

Someone may suggest that this represents only one (1) solution.

Programming is a wonderful thing. Just to get you started:

© Computes all possibilities of 4 numbers combined with the
© 4 basic arithmetic functions, with every possible association.
© 4 × 4 × 4 × 4 × 4 × 4 × 4 = 16384 initial possibilities
© 4 × 4 × 3 × 4 × 2 × 4 × 1 = 1536 actual possibilities
© 1) A×(B×(C×D)) - '×' as used here, represents any of ('×','÷','-','+')
© 2) (A×B)×(C×D) - A sixth variety is identical to this one.
© 3) A×((B×C)×D)
© 4) (A×(B×C))×D
© 5) ((A×B)×C)×D

Don't forget to check for redundancy and for illegal operations (such as division by zero).
 
tkhunny said:
If a = 9/5, and 2, 3, 7, only 4 arrangements work.
Are we allowed to add "grouping symbols" to our toolbox (currently only addition, subtraction, multiplication, and division)? Sometimes this makes a difference....

Eliz.
 
Yes. Generally, grouping symbols are assumed to be available. I do not recall if it is stated specifically in the rules, but it is implied in the nature and phrasing of what are defined as acceptable answers. I have not seen a tournament or rule set that requires reliance on ONLY the order of operations. It might be interesting, but would require greater care in selecting the problems presented. Not all have solutions.
 
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