# 2. How many ways can seven col

2. How many ways can seven colored beads bearranged (a) on a straight wire, (b) on a circular necklace? (Hint:think about the kinds of manipulations that would or would notresult in a “distinguishable” configuration of beads) 3. How manydistinguishable five-card poker hands are possible? Note thatreordering the cards in your hand does not change the nature of thehand.

3. How many distinguishable five-card pokerhands are possible? Note that reordering the cards in your handdoes not change the nature of the hand.

6. A firm has to choose seven people from its Rand D team of ten to send to a conference on computer systems. Howmany ways are there of doing this (a) when there are norestrictions? (b) when two of the team are so indispensable thatonly one of them can be permitted to go? (c) when it is essentialthat a certain member of the team goes?

Answer:

How many ways can seven colored beads be arranged

(a) on a straight wire,

n!

7!=5040 ways

(b) on a circular necklace?

In case of circular permutation, n things can bearranged in (n-1)! ways.

Now, in a necklace, the clockwise and anticlockwisearrangements are the same as it is symmetrical.

So,TOTAL ARRANGEMENTS = [(n−1)!/2]

Here we have 7 beads in a necklace.

So, no. of arrangements is [(7−1)!/2]=[(6!/2] =360 ways

3.How many distinguishable five-card poker hands arepossible? Note that reordering the cards in your hand does notchange the nature of the hand.

52C5

6.A firm has to choose seven people from its R and Dteam of ten to send to a conference on computer systems. How manyways are there of doing this

(a) when there are no restrictions?

10C7

(b) when two of the team are soindispensable that only one of them can be permitted togo?

2C1* 8C6

(c) when it is essential that a certain member of theteam goes?

9C6

##### "Our Prices Start at \$11.99. As Our First Client, Use Coupon Code GET15 to claim 15% Discount This Month!!"
Calculate the price
Make an order in advance and get the best price
Pages (550 words)
\$0.00
*Price with a welcome 15% discount applied.
Pro tip: If you want to save more money and pay the lowest price, you need to set a more extended deadline.
We know how difficult it is to be a student these days. That's why our prices are one of the most affordable on the market, and there are no hidden fees.

Instead, we offer bonuses, discounts, and free services to make your experience outstanding.
How it works
Receive a 100% original paper that will pass Turnitin from a top essay writing service
step 1
Upload your instructions
Fill out the order form and provide paper details. You can even attach screenshots or add additional instructions later. If something is not clear or missing, the writer will contact you for clarification.
Pro service tips
How to get the most out of your experience with brilliantassignmenthelp.com
One writer throughout the entire course
If you like the writer, you can hire them again. Just copy & paste their ID on the order form ("Preferred Writer's ID" field). This way, your vocabulary will be uniform, and the writer will be aware of your needs.
The same paper from different writers
You can order essay or any other work from two different writers to choose the best one or give another version to a friend. This can be done through the add-on "Same paper from another writer."
Copy of sources used by the writer
Our college essay writers work with ScienceDirect and other databases. They can send you articles or materials used in PDF or through screenshots. Just tick the "Copy of sources" field on the order form.
Testimonials
See why 20k+ students have chosen us as their sole writing assistance provider
Check out the latest reviews and opinions submitted by real customers worldwide and make an informed decision.
11,595
Customer reviews in total
96%
Current satisfaction rate
3 pages
Average paper length
37%
Customers referred by a friend
OUR GIFT TO YOU
15% OFF your first order
Use a coupon FIRST15 and enjoy expert help with any task at the most affordable price.
Claim my 15% OFF Order in Chat

## Sometimes it is hard to do all the work on your own

Let us help you get a good grade on your paper. Get professional help and free up your time for more important courses. Let us handle your;

• Dissertations and Thesis
• Essays
• All Assignments

• Research papers
• Terms Papers
• Online Classes