A coin is flipped 6 times In how many ways can we get a sequ

A coin is flipped 6 times. In how many ways can we get a sequence consisting of 4 heads and 2 tails?

please show work

Solution

Let T represents tails and H represents heads

we get a sequence as

TTHHHH

THTHHH

THHTHH

THHHTH

THHHHT

HTHHHT

HTHHTH

HTHTHH

HTTHHH

HHTHHT

HHTHTH
HHTTHH

HHHTHT

HHHTTH

HHHHTT