To win at LOTTO in one state, one must correctly select numbers from a collection of numbers (1 through ). The order in which

Question

3 years ago

12

the selection is made does not matter. How many different selections are possible?

1 answer:

allsm [11] · Answer 1 · 2022-08-11T19:18:53+03:00

Answer: If order does not matter then we can use following formula to find different combinations of 6 numbers out of 46 numbers

Step-by-step explanation: Use following Combination formula

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

n=46

r=6

=46!/6!(46-6)!

=46!/[6!(40)!]

=(46*45*44*43*42*41*40!)/(6*5*4*3*2*1)(40!)

Cancel out 40!

=46*45*44*43*42*41/(6*5*4*3*2*1)

=6744109680/720

=9366819

To win at LOTTO in one​ state, one must correctly select numbers from a collection of numbers​ (1 through ​). The order in which