elliswilliams1063
28.12.2019 •
Mathematics
Alottery game requires that you pick 66 different numbers from 1 to 7575. if you pick all 66 winning numbers, you win the jackpot. if you pick 55 of the 66 numbers correctly, you win $250 comma 000250,000. in how many ways can you pick exactly 55 of the 66 winning numbers without regard to order?
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Ответ:
1.074×10^12 ways
Step-by-step explanation:
Number of ways is given by n combination r
n combination r = n!/(n-r)!r!
n = 66, r = 55
66 combination 55 = 66!/(66-55)!55! = 66!/11!55! = (66×65×64×63×62×61×60×59×58×57×56×55!)/(11×10×9×8×7×6×5×4×3×2×1×55!) = (66×65×64×63×62×61×60×59×58×57×56)/(11×10×9×8×7×6×5×4×3×2×1) = 1.074×10^12
Ответ:
————
x+2