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Answer:
The number of possible numeric value for SAT are 8 possible numeric values
Step-by-step explanation:
A cryptarithm is a form of mathematical game where unknown numbers represented by letters of the alphabet are used to form mathematical equations
The given cryptarithm is SAT + SUN = 700
The parameters are;
The digits represented by the letters are different
Non of the digits represented by the letters equals 7 or 0
We have;
T + N = 10
1 + A + U = 10
1 + S + S = 7
Therefore, S = (7 - 1)/2 = 3
S = 3
A + U = 10 - 1 = 9
A + U = 9
Therefore, A = 4 or 5 (2 choices)
From T + N = 10
T = 1, 2, 8, or 9 (4 choices) similarly, N = 1, 2, 8, or 9 (4 choices)
Therefore, the number of numeric values that SAT represent is given as follows;
(S = 1 choice) × (A = 2 choices) × (T = 4 choices) = 1 × 2 × 4 = 8 numeric values
SAT has 8 possible numeric value