1) There are 4 cardio stations and 6 weight lifting stations at the gym. How many ways can you choose 2 cardio and 2 weight lifting stations for your workout?
2)A diner allows you to choose three fillings for their omelets from a list of 10. How many different omelets can be made using three different fillings? (like 10P2 or 25C25)
3) There are 4 cardio stations and 6 weight lifting stations at the gym. You decide to choose 4 stations randomly for today's workout. What is the probability you choose all weight lifting or all cardio stations?
4)There were 5 women and 6 men who were interviewed for five positions. Their qualifications experience, and interviews were very similar. One woman and four men were hired. Is it reasonable that this could have simply happened by chance or is this evidence that the women may have been discriminated against? Support your conclusion with a statistical argument.
5) A cake recipe calls for combining four dry ingredients (flour, sugar, salt, baking powder). In how many orders can you mix any three of the four dry ingredients? (like 10P2 or 25C25)
Thanks!
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