How many different arrangements are possible if there are 2

Reference no: EM13602430

1. A bus starts with eight people, 2 of which are Jack and Diana, and stops at 12 locations. Assuming nobody else gets on the bus, how many ways are there

(a) for people to get off the bus?

(b) for people to get off the bus if no 2 people get off at the Jacke stop?

(d) for people to get off the bus if Jack and Diana do not get off together?

Note: If more than one person gets off the bus at a particular stop, assume the order in which they leave is irrelevant.

2. (a) A fair coin is tossed 10 times.

(i) how many outcomes have exactly 8 heads?

(ii) How many outcomes have at least 8 heads?

(iii) How many outcomes have at least 2 heads?

(b) A fair die is tossed 8 times. How many outcomes have two 3's, three 1's and three 6's?

3. Three cards are chosen from a deck of cards. Disregarding the order in which the cards are chosen, how many possibilities are there in which

(a) all three cards are black?

(b) exactly two are the Jacke color?

4. Janet has 12 books, consisting of 3 science fiction, 4 biographies and 5 mysteries that she wants to arrange on a shelf.

(a) If the arrangement only considers the genre and not the specific book, how many different arrangements are possible?

(b) How many different arrangements are possible if there are 2 mysteries in the first 4 spots and 3 in the last 5 spots (again, assume that only the genre is considered and not the specific book).

Reference no: EM13602430

Questions Cloud

Describe two transactions the accounts that are affected : describe two transactions the accounts that are affected and the affect on the respective financial statements.discuss

After a military campaign a random sample of 59 soldiers : after a military campaign a random sample of 59 soldiers none of whom know each other was examined and the number of

Question a small ferryboat is 400 m wide and 600 m long : question a small ferryboat is 4.00 m wide and 6.00 m long. when a loaded truck pulls onto it the boat sinks an

Breezes curacao has 200 rooms each room rents at 130 per : breezes curacao has 200 rooms. each room rents at 130 per night and variable costs total 42 per room per night of

How many different arrangements are possible if there are 2 : 1. a bus starts with eight people 2 of which are jack and diana and stops at 12 locations. assuming nobody else gets on

A container is filled to a depth of 200 cm with water on : a container is filled to a depth of 20.0 cm with water. on top of the water floats a 35.0 cm thick layer of oil with

The northridge store is just one of many stores owned and : the following cost data pertain to the operations of swestka department stores inc. for the month of july.corporate

Materials and labor are the only variable costs the company : rarons rockers is in the process of preparing a production cost budget for august. actual costs in july for 120 rocking

The mass flow rate is 556 lbs and the isentropic turbine : water vapor at 800 lbfin.2 1000 degrees f enters a turbine operating at steady state and expands to 2 lbfin.2 the mass

User Account

All Pages