Respuesta :

Answer:

21

Step-by-step explanation:

7! / (5! x 2!) = 42/2 = 21

other explanation:

TTHHHHH THTHHHH THHTHHH THHHTHH THHHHTH THHHHHT ... 6

HTTHHHH HTHTHHH ........................................................................................... 5

HHTTHHH HHTHTHH ............................................................................................4

HHHTTHH HHHTHTH .............................................................................................3

HHHHTTH HHHHTHT .............................................................................................2

HHHHHTT ...................................................................................................................1

6+5+4+3+2+1 = 21

The number of different ways should be 21.

Calculation of no of different ways:

Since there is  7-letter permutations can be formed from 5 identical H's and two identical T's

So,

[tex]= 7! \div (5! \times 2!) \\\\= 42 \div 2[/tex]

= 21

learn more about the letter here: https://brainly.com/question/90568

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