Warm Up….
Question # 1
Find the probability of flipping three pennies and getting at lest 1 heads.
The first penny would be either heads or tails; the second would be also heads or tails etc. The chance of getting either one on any of the pennies on the three times would be ½., because there are 2 sides to a penny.
1.) How many 4 digit #’s are there if the same digit CANNOT be used twice?
* The First # can’t start with 0.
*Remember to watch how the question is worded.
Ex. 1. Heads AND Heads AND Heads mean multiplied.
2. Heads OR Heads mean add*
Question # 2
How Many Ways
A.) The café special for lunch offers a choice between two main courses (hamburger or chicken burger) and three different drinks. The “meal deal” allow you to pick one each. How many different “meal deal” are there?
*2 meals times the # of meal deals = 6 diff. ways.
Ex. 1. Heads AND Heads AND Heads mean multiplied.
2. Heads OR Heads mean add*
Question # 2
How Many Ways
A.) The café special for lunch offers a choice between two main courses (hamburger or chicken burger) and three different drinks. The “meal deal” allow you to pick one each. How many different “meal deal” are there?
*2 meals times the # of meal deals = 6 diff. ways.
B.) What if they decide to throw in a choice of fries, spicy fries or plain chips. How many “meal deals” are there now?
*Now you add the fries, spicy fries & plain chips on.
*Now you add the fries, spicy fries & plain chips on.
*Now you just add the 3 more diff meals to the first two. Witch now = to 18 diff. ways.
Now this is what the warm ups got us warmed up for…….
“The Fundamental Principal of Counting”
If there are M ways to do a first thing & N ways to do second thing then there are M * N ways to do both things.
Ex. Any one of 4 ties can be matched with any one of 3 shirts, how many shirts & ties combinations are possible?
* 4 ties times 3 shirts = 12 diff. ways to find combinations.
“The Fundamental Principal of Counting”
If there are M ways to do a first thing & N ways to do second thing then there are M * N ways to do both things.
Ex. Any one of 4 ties can be matched with any one of 3 shirts, how many shirts & ties combinations are possible?
* 4 ties times 3 shirts = 12 diff. ways to find combinations.
What if there are also 2 different pairs of pants that can be matched with all the shirts and ties, how many different “outfits are there now?
Now you try……
1.) How many 4 digit #’s are there if the same digit CANNOT be used twice?
* The First # can’t start with 0.
2.) How many 4 digit #’s are there if the same CAN be repeated?
* The same rule applies here can’t start with 0.
* The same rule applies here can’t start with 0.
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