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Mathematics 14 Online
OpenStudy (anonymous):

Combinations

OpenStudy (rockycatsrule):

what is your question

OpenStudy (anonymous):

A delegation of 4 people is to be selected from 5 women and 6 men find the number of possible delegations if there is atkeast 1 woman

OpenStudy (anonymous):

At least *

OpenStudy (sparrow2):

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OpenStudy (anonymous):

Can you explain how you got that?

OpenStudy (dumbcow):

There are 11 total people to choose from. Total num of combinations is 11 choose 4. You must have at least 1 woman, so you subtract the num of combinations in which there are only men. Total men is 6, so num of all men combinations is 6 choose 4.

OpenStudy (sparrow2):

yeah

OpenStudy (anonymous):

What if there were at least 2 women?

OpenStudy (dumbcow):

Then you also have to subtract the number of combinations in which there is only one woman take three of the six men then take one of the five women . 6 choose 3 times 5 to 1

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