2) To play the lottery in a certain state, a person has to correctly select 5 ou

Question

2) To play the lottery in a certain state, a person has to correctly select 5 out of 45 numbers, paying S1 tive-number selection. If the five numbers picked are the same as the ones drawn by the lottery, an enormous sum of money is bestowed. A) a person with one ticket will win ? B) a person with 100 different tickers will win? 3) A committee consisting of 6 people is to be selected from eight parents and four teachers. Find probability of selecting 1 A) three parents and three teachers B) no teachers 3.4c 224 224/a2433 C) no parents D) not the same number of teachers and work must be shown. In how many ways can the questions and problems be chosen must answer ) A physics exam consists of 9 multiple-choice questions and 6 open-ended problems i B) five of each A) 6 multiple -choice and 4 open - ended questions 434

Explanation / Answer

3)

Probability that committee consist of 6 people from 8 parents and 4 teachers

= 12C6

=924

A)3 parents and 3 teachers

= 8C3 ×4C3

=224

B)No teachers

=8C6

=28

C)No parents

There are only four teachers and 8 parents

So,no committee of 6 person is form from only 4 teachers

D)not the same number of teachers and parents

=8C2 × 4C4 +8C4 ×4C2 + 8C5 ×4C1+8C6

=28+420+224+28

=700

4) 9 multiple choice questions and 6 open ended questions

A)number of ways of 6 multiple choice questions and 4 open ended questions

=9C6 × 6C4

=1260

B)Five of each

=9C5 ×6C5

=756

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