Answer:
steps below
Explanation:
Total = 12+17+14 = 43
Without replacement:
C(12,5) / C(43,5) = (12!/5!*7!) / (43!/5!*38!) = (12*11*10*9*8) / (43*42*41*40*39)
= 95040 / 115511760
= 0.00082
≈ 0.082%
with replacement: 12/43*12/43*12/43*12/43*12/43 = 12⁵ / 43⁵