If i flip a coin 4 times and i get to 2 heads and 2 tails, how many difenrent ways to get 2 heads and 2 tails.

6

Step-by-step explanation:

-The different ways of two head and two tails in 4 tosses can be determined by drawing the sample space:

-The sample space of the four tosses is as above. Hence, they are 6 different ways  to get 2 heads and 2 tails.

its 69.420

step-by-step explanation:

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for