Maths 4

How many 4 letter code words from POSSESSES

115

Use the numerals 1, 2, or 3 to form a 4 digit number. The 4 digit number must contain 1, 2, and 3, however the same numerals must not be adjacent to each other. E.g. 3112 is not allowed. How many 4-digit combinations are possible?

18

For KOALA and GUMTREE, you try arrange 12 letters in total . How many arrangement of KOALA in correct order.

1995840

How many ways can 4 ppl be accomadated in 4 different rooms

256 ways

10 identical balls in 4 different box, how many ways?

286

4 of a kind

4 cards are same number

straight

5 cards in sequence, suit don't matter

Six people need to travel using two taxis; each taxi can contain a maximum of four people. Find the number of ways to take the taxi(version 2 inclass)

50

Four colours (red, white, blue and green) are painted on the four faces of a regular tetrahedron. How many distinct colouring patterns are possible

6

James and Erin a die alternately (as usual the die has faces numbers from to 6). The first person to toss a 6 wins. Erin goes first. What is the probability that she wins? (inclass version 1, q16)

6/11

Of 4 different coloured balls (red, yellow, black, and green), assign each of them to a region of the diagram below (1, 2, 3, 4, 5). Each region can contain a maximum of 1 ball, and its adjacent region must contain a ball of a different colour. How many ways are there of assigning the balls

72

On a 10-question multiple choice quiz, 3 answers are A, 2 answers are B, 2 answers are C, 1 answer is D and 2 answers are E. How many different keys are possible

75600

Q19 from version 1 inclass; Three men and three women sit in a circle. The three women are not allowed to all sit together. How many arrangements are possible?

84

3C:In how many ways can 5 boys and girls be arranged in circle so girls are separate? How many ways can this be done if 2 particular boys must not sit next to particular girl?

864

5 students are allocated 5 into 3 rooms and each room can contain a max of 2 students and a min of 1 student. How many different ways are there? a

90

Royal flush

A,K,Q,J,10

Probability of area of trapezium in continuous distribution

Area of trapezium= 1/2 (upper base+lower base) times height therefore on graph A= [f(x1)+f(x2)]/2times by(x2-x1) P(x1<x<x2)=shaded area

Conditions important for Binomial Distribution

If data discrete, then binomial distribution, with replacement, order not important

using Pascal's triangle show how nCr=nC(n-r)

Pascal's triangle symmetry

Conditions important for Continuous random variables

Probability at any specific value is always 0.

flush

all same suit

Straight Flush

increment=1, all same suit

what does nC1 equal to

n

What does nCr equal to

nC(n-r)

Formula for probability

nCx times p^x times q^n-x

in n number of digits, does 0 count as first digit

no

show function p(x)=1/42(5x+3) where x=0,1,2,3 is probability distribution and find mean, median and mode. also mention when not probability distribution

not probability distribution when X=0,1,2,3,4

What is (x+y)^n

sum of n from r=0(nCr times (n-r)y^r)

full house

triple, double