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?

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