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Bonus questions
MAGICAL MATH PROBLEMS !!!!!
Difficult questions
Paper and pencil problems
Word problems
100
What is The response to this expression ? p(7,4)? Time limit : 2 minutes
ANSWER !: 7 x 6 x 4 x 3 = 840
100
3P1 OR p(3,1)
What is 3?
100
You choose a 6-letter password for your e-mail. Write an expression to represent the number of different passwords you could choose. Explain how this expression changes if you can use each letter only once.
What is 26x26x26x26x26x26. If each letter is used only once, there would be one less letter available at each step, and the expression would change to 26x25x24x23x22x21
100
in how many ways can a president , secretary and a vice president be randomly selected from a class of 25 students ?
WHAT IS 25 X 24 X 24 =13,800
100
You are given a list of 10 activities you can do after school. you are asked to pick your first, second, third,and fourth choices. How many different permutations are possible?
What is 5040 arrangements?
200
Your friend says that 11!=11x10!. Is your friend correct? Explain.
Yes; 11!=11x10x9x8x7x6x5x4x3x2x1=11x10!
200
There are 53 band students going on a fieldtrip, how many ways can the teacher put them in groups of two for the bus ride?
What is 1,378
200
Evaluate 9P3
What is 9·8·7 = 504
200
How many different 4 letter words can be formed from the letters in the word MATH ?
What is 24
200
How many ways can we order a four topping pizza if there are seven toppings to chose from?
What is 35 !
300
An arrangement of objects or symbols in a particular order.
What is a permutation?
300
THANK GOD ITS NOT A QUESTION!!!! BONUS POINTS:500
300
IN HOW MANY WAYS CAN THE STARTING 5 VOLLEYBALL PLAYERS STAND IN A ROW FOR A PICTURE
What is 60 5 x 4 x 3 x1
300
In how many ways can 7 books be arranged on a shelf?
What is 7
300
Compute C(16,10)
What is 12,870
400
A license plate begins with three letters. If the possible letters are A, B, C, D and E, how many different permutations of these letters can be made if no letter is used more than once?
For the first letter, there are 5 possible choices. After that letter is chosen, there are 4 possible choices. Finally, there are 3 possible choices. 5 × 4 × 3 = 60
400
Three snowboarders just finished a race down a mountain. They finished the race in 1st, 2nd and 3rd places. How many different orders can you make for the race results
What is 6
400
How many ways can 4 prizes be given away to 3 boys (one boy can receive 1 prize), if each boy is eligible for all the prizes? A. 256 B. 24 C. 12 D. None of these
Option(B) is correct Let the 3 boys be B1,B2,B3B1,B2,B3 and 4 prizes be P1,P2,P3P1,P2,P3 and P4P4. Now B1B1 is eligible to receive any of the 4 available prizes (so 4 ways) B2B2 will receive prize from rest 3 available prizes(so 3 ways) Finally, B3B3 will receive his prize from the rest 2 prizes available(so 2 ways) So total ways would be: 4×3×2=244×3×2=24
400
How many ways can we order 8 swimsuits in 4 lockers?
what is 8! 4! = 1680
400
A zip code contains 5 digits. How many different zip codes can be made with the digits 0–9 if no digit is used more than once and the first digit is not 0?
For the first position, there are 9 possible choices (since 0 is not allowed). After that number is chosen, there are 9 possible choices (since 0 is now allowed). Then, there are 8 possible choices, 7 possible choices and 6 possible choices. 9 × 9 × 8 × 7 × 6 = 27,216
500
There is a school raffle this week, the first prize is a coffee mug, the second prize is a car, and the third prize is a candy bar. How many ways can you hand out the prizes in 100 students entered the raffle? Would this be a combination problem or a permutation problem?
What is Permutation
500
Find the number of 7-letter permutation from the letters of the word FORMULA Choices: A. 5,040 B. 7 C. 1 D. 49 C
What is A. 5,040
500
Define permutation:
What is a way of arranging in an ordered fashion of objects or values where order matters.
500
How many different 5-letter arrangements are there of the letters in the word
d i g i t d = 5· 4· 3·2·1 = 120 2·1 2 ( i repeats twice) = 60
500
Solve P(8,2)
What is 56