How many ways a team of five salespersons can be formed from a group of 10...

How many ways a team of five salespersons can be formed from a group of 10 salesmen and 8 saleswomen, if the team contains at most 2 saleswomen?

Solutions

Expert Solution

Total number off people is 10+8=18.

We are forming team of 5.

Now,

The number of teams of 5 can be formed with 0 saleswomen is

The number of teams of 5 can be formed with 1 saleswomen is

Since 1 saleswoman in team means other 4 are salesmen and 4 salesmen from 10 can be taken in ways

The number of teams of 5 can be formed with 2 saleswomen is

Since 2 saleswoman in team means other 3 are salesmen and 4 salesmen from 10 can be taken in ways and 2 saleswomen from 8 can be taken in ways

Hence the number of ways a team of 5 salespersons can be formed from the given group such that the team contains at most 2 saleswomen is

orchestra answered 1 year ago

Next > < Previous

Related Solutions

How many ways can a team of 24 hockey players choose a captain and two alternate...

How many ways can a team of 24 hockey players choose a captain and two alternate captains?

The Tuckman model is comprised of five stages of team development. When many teams are first formed,...

The Tuckman model is comprised of five stages of team development. When many teams are first formed, the teams begin at the lowest level of the model and they progress through the five levels. Describe each level in detail. (Forming, Storming, Norming, Performing, and Adjourning).

In how many ways can a five horse race end, allowing for the possibility that two...

In how many ways can a five horse race end, allowing for the possibility that two horses tie?

How many distinct arrangements can be formed from all the letters of ʺstudentsʺ?

How many ways to group 75 objects into 3 groups if any number of objects can...

How many ways to group 75 objects into 3 groups if any number of objects can be in the 3 groups if each group must have 25 objects?

How many ways can a gardener plant five different species of shrubs in a circle? What...

How many ways can a gardener plant five different species of shrubs in a circle? What is the answer if two of the shrubs are the same? What is the answer if all the shrubs are identical?

(a) In draw poker, how many ways can you get a full house? (a five card...

(a) In draw poker, how many ways can you get a full house? (a five card hand with 3 of one number and 2 of another number) (b) How many 7-digit telephone numbers exist? (c) How many 7-digit telephone numbers exist where no number is repeated? (d) How many 7-digit telephone numbers exist where the last 3 digits are 911? (e) How many 7-digit telephone numbers exist for a given area code if the sequence 911 can’t occur? (e.g. 838-9115...

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...

Exercise 3.8.18: How many ways are there to choose five cards from 52 so that you...

Exercise 3.8.18: How many ways are there to choose five cards from 52 so that you have all the aces? How many ways are there to choose five cards from 52 so that you have four cards with the same number? Exercise 3.8.20: How many ways are there to choose five cards from 52 so that you have two cards with the same number? Hint: This problem is more tricky than you think.

How many ways can you see that heat can transfer from the inside to the outside...

How many ways can you see that heat can transfer from the inside to the outside of your room on a cold day? List at least three and describe in detail how heat moves through the different kinds of materials (glass, brick, wood, insulation, etc.)—by conduction, convection or radiation. Which process do you suppose dominates?

Subjects