Answer:
There are 115141000 possible ways.
Step-by-step explanation:
Since it is a 7 – card pocker hands, then the total number of poker hands will be:
[tex]\binom{52}{7}[/tex]
Also, the total number of hands without figure cards is
[tex]\binom{40}{7}[/tex]
This is because there are 12 cards with figures (4 x J, Q, K).
Therefore, the number of hands with at least one figure will be:
[tex]\binom{52}{7} - \binom{40}{7}[/tex]
And this would be
133784560 – 18643560 = 115141000