SOLUTION: Suppose an exam has 34 questions on it and students need to answer 22 of the questions. In how many ways can this be done if the first 4 and exactly 5 of the last 8 questions mus

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Question 717642: Suppose an exam has 34 questions on it and students need to answer 22 of the questions. In how many ways
can this be done if the first 4 and exactly 5 of the last 8 questions must be answered and question #13 must not
be answered because of a typo?

Pilion Pizza makes a specialty pizza with 4 layers of toppings alternating with layers of cheese and
advertises that it offers 36 different toppings.
a) How many different pizzas can be made if none of the toppings can be duplicated and the
order of the toppings matters?
b) How many different pizzas can be made if none of the toppings can be duplicated and the
order of the toppings doesn�t matter?
Answer by stanbon(75887) (Show Source):
You can put this solution on YOUR website!
Suppose an exam has 34 questions on it and students need to answer 22 of the questions. In how many ways can this be done if the first 4 and exactly 5 of the last 8 questions must be answered and question #13 must not
be answered because of a typo?
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# of ways to answer the first 4: 1
# of ways to answer #13: 0
# of ways to answer of the last 8: 8C5 = 56
# of ways to answer 10 of the remaining 21: = 352716
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Total # of ways : 1 * 56*352716 = 5643456
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Pilion Pizza makes a specialty pizza with 4 layers of toppings alternating with (number missing here) layers of cheese and (?? here) advertises that it offers 36 different toppings.
a) How many different pizzas can be made if none of the toppings can be duplicated and the
order of the toppings matters?
b) How many different pizzas can be made if none of the toppings can be duplicated and the
order of the toppings doesn�t matter?
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Cheers,
Stan H.