- Hi I need help listing 10 different expressions equal to forty six, using the digits 2, 4, 5, 7, and 9.

Rules are:
•Can use any/all digits in a single expression. May not repeat any digits in any 1 expression. May use any mathematical operation that is valid, and not repeat the use of a digit in any form.
•At least 1 expression should use all 5 digits.
•At least 1 expression should use all 4 arithmetic operators (+, - , ×, ÷) at least once.
•1 expression might even use all 5 digits and all 4 operators.

Do various constraints need to be applied? Such as using integers only, the number of expressions listed, limiting choice of digits, or operations etc?

And is there a standard formula for working our equivalent expressions?

So far I have 4:

1.5 × 7 + 9 + 4 – 2 = 46
2.(9 squared) – 7 × 5 = 46
3.√9 × 7 × 2 + 4 = 46
4.9 × 5 + ( 7 – 2) – 4 = 46


Trouble working out "At least one expression should use all four arithmetic operators (+, - , ×, ÷) at least once" and "One expression might even use all five digits AND all four operators."


Thanks