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jeka94
3 years ago
6

B. A play contains 18 speaking roles, where 10 are male and 8 are female. If the director can choose from among 15 male actors t

o fill the male roles and 11 female actors to fill the female roles, how many different casts are possible?
Mathematics
1 answer:
shepuryov [24]3 years ago
4 0

Answer:

3168

Step-by-step explanation:

Here, we have s combination problem as we are selecting. The question is quite straightforward.

What the director needs to do is simply select 10 males from the total 15 males and also select 8 females from the total 11 females and add the results.

To select 10 from 15, we simply compute as 15C10 which equals 3003 ways

To select 8 from 11, we simply compute 11C8 which equals 165 ways

We simply add both to get the numbers of possible casts which is 3003 + 165 = 3168 possibilities

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