The Powerball lottery is decided every Wednesday and Saturday night by drawing five white balls out of a drum with 69 balls and one red ball out of a drum with 26 red balls. The Powerball jackpot is won by matching all five white balls in any order and the red Powerball. Each ticket costs $2. A ticket is defined as a set of five white and 1 red number.

The question continues; I take it is defined as a set of five white and one red number how many possible different Powerball tickets can be purchased how many possible different winning Powerball tickets are there

Step-by-step explanation:

he concept of combinatorics (combination and permutation) is applied her

nPr = n! / (n-r) !

nCr = n! / (n-r) ! r!

Hence number of possible different powerball tickets = number of ways of selection

= selecting 5 white ball from a total of 69 and selecting a red ball from a total of 26

= 69C5 x 26C1

using the formula above for combination

= 69! / (69-5) !5! x 26! / (26-1) !1!

= 292, 201, 338 ways