There are 40 numbers in the Louisiana Lotto game. In

Jayla Christensen

Jayla Christensen

Answered question

2022-06-21

There are 40 numbers in the Louisiana Lotto game. In how many ways can a player select six of the numbers?

Answer & Explanation

humusen6p

humusen6p

Beginner2022-06-22Added 22 answers

Step 1
This is a combinations question - we don't care in what order the numbers are selected. The general formula for a combination is:
C n , k = n ! ( k ) ! ( n - k ) !
C 40 , k = 40 ! ( 6 ) ! ( 40 - 6 ) ! = 40 ! ( 6 ! ) ( 34 ! )
Step 2
40 2 × 39 × 38 × 37 × 36 × 35 × 34 ! 6 × 5 × 4 × 3 × 2 × 34 !
2 × 39 × 38 × 37 × 35 = 3 , 838 , 380

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