20
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The number of combinations of six numbers that can be made from seven numbers will depend on if you can repeat numbers. In all there are over 2,000 different numbers that can be made.
45
To win the jackpot there are 5,006,386 combinations for the five numbers x 35 powerball choices, so there are 175,223,510 combinations for picking the jackpot combination.
Twenty factorial which is denoted by "20!". 20! = 1x2x3x4x5x6x7x8x...x19x20
9!/5! or 3024