# abcde.............To the powers

**Discrete Mathematics**Level 5

If the coefficient of \(b^{12}c^6d^{15}e^{4n}\) in the expansion of \[(a^7+b^3+2c^2+d^5+e^3)^{26}\] is non-zero then n takes the value \(\alpha\).

Find \(\alpha\).

If the coefficient of \(b^{12}c^6d^{15}e^{4n}\) in the expansion of \[(a^7+b^3+2c^2+d^5+e^3)^{26}\] is non-zero then n takes the value \(\alpha\).

Find \(\alpha\).

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