If a solid figure has $15$ edges and $10$ vertices, then the number of faces of a solid figure is

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Solution

The correct option is C $7$
Using Euler's formula

$V + F = E + 2$

$E = 15$

$V = 10$

$∴ 10 + F = 15 + 2$

$∴ F = 17 - 10$

$∴ F = 7$

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