Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe. He wants
2 answers:
Answer:
The correct option is B. 35
Step-by-step explanation:
Juan is making a fruit salad. He has grapes, watermelon, apples, pineapple, bananas, mangoes, honeydew, and cantaloupe
Number of fruits in total available to make fruit salad = 8
Number of fruits needed to make fruit salad = 5
No. of choices available for 1st fruit , watermelon is must = 1
Hence, In 35 ways he can make the fruit salad if it must contain watermelon
Therefore, The correct option is B. 35
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and
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For the second condition, we need to find the derivative first. In this case, we have:
Therefore:
This means that we must solve the following system of equations:
If we add the equations above, we get:
If we now substitute into either of the equations in the system, we get:
This means that the solution obeying the initial conditions is:
Indeed, we can see that:
which do correspond to the desired initial conditions.