Question

In: Statistics and Probability

In how many ways can six people be selected from among thirteen people (a) if order...

In how many ways can six people be selected from among thirteen people (a) if order counts? (b) if order does not count?

Expert Solution

a) If order counts then

Number of ways =

= 1235520

Number of ways = 1235520

b) If order does not count then

Number of ways =

= 1716

Number of ways = 1716

orchestra answered 1 year ago

Six numbered tokens are distributed to 8 different people. a) How many ways can the tokens...

Six numbered tokens are distributed to 8 different people. a) How many ways can the tokens be distributed? How many ways can the tokens be distributed if each token must be given to a different person? b) How many ways can the tokens be distributed such that person A receives at least 2 tokens? c) How many ways can the tokens be distributed such that 3 are given to one person, and 2 to another person? d) How many ways...

Six textbooks are to be arranged on a shelf. In how many ways can they be...

Six textbooks are to be arranged on a shelf. In how many ways can they be arranged? A) 6p4 360 ways B) 6p3 120 ways C) 6c6 1 way D) 6p6 720 ways

There are 15 light bulbs of which 5 are defective. In how many ways can six...

There are 15 light bulbs of which 5 are defective. In how many ways can six light bulbs with exactly one defective be chosen? C(15,6) C(10,5)*C(5,1) P(10,5)*P(5,1) P(15,6) How many ways are there to fill out a 25 question multiple choice exam if there are 5 ways to answer each question? 255 525 C(25,5) P(25,5) How many nonnegative solutions (xi >=0 for 1<=i<=3) does the equation x1 + x2 + x3 = 10 have? 103 C(10,3) C(12,2) 310

how many different ways can 2 tickets be selected from 20 tickets if each ticket wins...

how many different ways can 2 tickets be selected from 20 tickets if each ticket wins a different prize? each ticket wins the same prize ?

Twenty people check their hats at a theater. In how many ways can their hats be...

Twenty people check their hats at a theater. In how many ways can their hats be returned so that (a) no one receives his or her own hat? (b) at least one person receives his or her own hat? (c) exactly one person receives his or her own hat?

How many ways can the gold, silver, and bronze medals be distributed among the 8 contestants?

In the Olympics, there are 8 swimmers in the final race. How many ways can the gold, silver, and bronze medals be distributed among the 8 contestants?

10 people are sitting in a circle. How many different ways can they be seated relative...

10 people are sitting in a circle. How many different ways can they be seated relative to each other if Steve and Alice must be seated directly across from each other? Do I need to apply the circular permutation formula of (n-1)!, and do I need to multiply the end result by 2 to account for the fact that they could be in different positions kinda like standing beside each other where one is on the left but could also...

Seven people are in an elevator which stops at ten floors. In how many ways can...

Seven people are in an elevator which stops at ten floors. In how many ways can they get off the elevator? 10^7 C(10,7) 7^10 P(10,7) A hiking group consists of 12 students and 2 leaders. A leader must be at the front and back of the line. How many ways can the group hike in a line? 14! 12!*2! 14!/2! 12!

How many ways can 7 out of 11 taxi drivers be assigned to six different taxi...

How many ways can 7 out of 11 taxi drivers be assigned to six different taxi cabs?

In how many ways can 7 people { A, B, C, D, E, F, G }...

In how many ways can 7 people { A, B, C, D, E, F, G } be seated at a round table if (a) A and B must not sit next to each other; (b) C, D, and E must sit together (i.e., no other person can sit between any of these three)? (c) A and B must sit together, but neither can be seated next to C or D. Consider each of these separately. For (c) you may NOT...