!
What country did Ms Haq travel to last year?
Japan
Number of ways placing people in line for a photograph. Is this P or C?
Number of possible selections of 3 books to read from a list of nine books. Is this combination OR permutation?
COMBINATION!! Order does NOT matter!
One card is drawn from a standard deck of 52 cards. Find the PROBABILITY of the following.
P(a red Queen is drawn)
2/52
How many terms does (3x+2y2)12 have?
13
4!
24
How many batting orders of 9 people can be made from a baseball team of 15 members?
1,816,214,400
How many ways can you choose one of four ties, three pairs of pants and six shirts?
72
A bag contains 6 black, 5 red, 4 yellow and 3 white marbles. How many samples of 6 marbles can be drawn from the bag in which 3 are black, 2 are red and 1 is white?
6C3*5C2*3C1=600 samples
Find the 4th term of the expansion of (2x2-y)6
-160x6y3
If 10 students sit in the same row in an auditorium, how many possible ways can be arranged?
10!=3,628,800
There are 10 students on math team. How many ways are there to pick 4 of them to compete in the next group contest?
10C4=210 ways.
A kitchen drawer contains 7 forks, 4 spoons and 5 knives. Three are selected at random. No replacement. Find P(3 forks)
1/16
You want a plate with 5 letters. The first shall be a vowel and the rest are consonants. No repetition. How many plates are possible?
718,200
(8!)/(3!2!)
3360
There are 4 white marbles, 3 red and 4 blue. How many ways can we get 2 white, 1 red and 3 blue?
4C2*3C1*4C3=72 ways
A bag contains 2 green, 5 white and 3 blue marbles. How many ways can we choose 3 white and 2 blue?
Two dice are rolled. What is the P(sum is at least 5 given that 1 die shows 3)?
9/11
Find the term that has an x exponent of 8 given (x4+y8)12
11th term=66x8y80
How many arrangements can we be formed from the word MISSISSIPPI?
34,650
Every radio station has 4 letter "call letters". Every set of "call letters" must begin with a W or K and no letters repeat. How many different sets of 4 letters are there? (Hint: SLOT method)
2*25*24*23=27600 ways.
A box contains 12 red, 6 blue, 4 white and 8 black marbles. You select 3 marbles without replacement. Find the probability of getting 2 blue?
(6C2*24C1)/(30C3)=18/203
Two cards are drawn without replacement. What is the P(both club or both face cards) are drawn?
(13C2+12C2)-(3C2)/ (52C2)=47/442
(3a-2b)5
243a5-810a4b+1080a3b2-720a2b3+240ab4-32b5