Organized Counting
The rule that is used when you multiply two or more functions together
What is the Fundamental Counting Principle/Multiplicative Counting Principle/Product Rule?
Express the following in factorial notation:
182 * 12 * 11!
What is 14!
The amount of different 10 digit phone numbers that are possible with the numbers: 6, 7, 7, 7, 0, 0, 4, 5, 3, 8.
What is 302 400?
What's the sum of the digits in the 19th row of Pascal's Triangle?
What is 219?
Finish the triangle using Pascal's counting method:
___ ___ 169 ___
___ ___ 948
1432 1169
____
1159 52 169 779
1211 221 948
1432 1169
2601
The amount of ways you can roll a sum of 5 or 8 with a pair of dice.
What is 9?
Evaluate the following:
75!/(69!*2!)
What is 72,489,438,000 ?
The amount of permutations in the word "monumentus".
What is 453 600?
The sum of all the terms in row 30 in Pascal's Triangle.
What is 1,073,741,824?
Don Juan lives 4 blocks north and 6 blocks west of the local McDonald's. Assuming he can only move southward and eastward, how many different paths can he take to the local McDonald's?
What is 210?
The amount of ways you can draw a face card or a 6 of hearts in a standard deck of cards.
What is 13 ways?
The amount of ways you can arrange the letters in Jeopardy.
What is 40,320?
If a pilot flies to Toronto 7 times, Chicago 8 times, and Montreal 3 times, how many itineraries could she follow?
What is 5,250,960 ways?
How do the powers of 11 relate to Pascal's triangle?
11 raised to the n'th power share the same digits as row n in Pascal's triangle.
How many different paths can be used to spell Michael?
M
I I
C C C
H H H H
A A A
E E E E
L L L
What is 48.
The amount of different possibilities if a standard die is rolled 7 times.
What is 279 936?
The amount of ways you can arrange the letters in Jeopardy if the 'e' and 'o' are always next to each other.
What is 10,080?
The amount of ways the word CANADA can be arranged if the consonants must stay in place.
What is 1?
The row number of Pascal's Triangle whose sum is 256.
What is row 8?
DAILY DOUBLE - the other team gets to make up a problem for you (they have 2 mins)
we'll see!