Question

To win at LOTTO in one​ state, one must correctly select 6 numbers from a collection of 47 numbers​ (1 through 47 ​). The order in which the selection is made does not matter. How many different selections are​ possible?

Answer 1

Explanation:

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

Possible different selection 9366819