Respuesta :

The combination of possible outcomes that we get exactly four tails is 1365.

According to the statement

The times for which coin is flipped (n) is 15

The number for which we get exactly the tails (r) is 4

So, use Combination formula which is written below

C(n,r)= n! / r!(n−r)!

Substitute the values in it

C(15,4)= 15! / 4!(15−4)!

C(15,4)= 15! / 4! * 11!

C(15,4)= 15*14*13*12*11! / (4*3*2*1) * 11!

C(15,4)= 32760 / 24

C(15,4)= 1365

So, the combination of possible outcomes that we get exactly four tails is 1365.

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