1.) Given set A={a, b, c, d), how many subsets of A are there? 2.) Given set A={

ID: 2965639 • Letter: 1

Question

1.) Given set A={a, b, c, d), how many subsets of A are there?

2.) Given set A={f,g,h,p,}, how many subsets consisting of 2 different elements of A are there? List all of them

3.) Given set A={f,g,h,p}, how many subsets consisting of 2 letter arrangements of A are there? List all of them

4.) How many different 4-member subcommittees can be formed from a committee with 7 members?

5.) What is the probability that when two dice are rolled, the sum of the numbers on the two dice is 7?

6.)How many different strings can be made by reordering the letters of the word

S U C C E S S

Given set A={a, b, c, d)

Number of elements =n=4

Number of subsets =2^n = 2^4 = 16 answer

Given set A={f,g,h,p,}, subsets consisting of 2 different elements of A are 4C2 =6

(f,g) ,(f,h) ,(f,p) ,(g,h) (g,p),(h,p)

Given set A={f,g,h,p}, subsets consisting of 2 letter arrangements of A are 4C2 *2 =12

(f,g) ,(f,h) ,(f,p) ,(g,h) (g,p),(h,p) ,(g,f),(h,f),(p,f) ,(h,g),(p,g),(p,h)

7C4= 7!/(4!*3!) =35

possibility of 7 = (1,6) ,(6,1) ,(2,5),(5,2),(3,4),(4,3)

probability = 6/36=1/6

7!/(3!*2!) =420

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