Aspire Faculty ID #13809 · Topic: JAMIA MILLIA ISLAMIA MCA 2021 · Just now
JAMIA MILLIA ISLAMIA MCA 2021

In how many ways can a cricketer hit a century using only 4s and 6s?

Solution

Solve 4a + 6b = 100 ⇒ 2a + 3b = 50.
Require a ≡ 1 (mod 3), 0 ≤ a ≤ 25 ⇒ a = 1,4,7,10,13,16,19,22,25 (9 values).
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