can any body help me to solve the below problem…?
find the number of permutations of all letters of the word BASEBALL if the words are to begin and end with a vowel.
can any body help me to solve the below problem…?
find the number of permutations of all letters of the word BASEBALL if the words are to begin and end with a vowel.
Thanks Hlayie, glad it helped!
@Michael: Hrm, interesting question. I think you need to structure it into groups: basically, define sets that can be re-arranged, and sets that can’t. If James must come before Jason/Jennifer, you have
James THEN Jason OR Jennifer THEN Amber
In this case there are only 2 possibilities (rearrange Jason/Jennifer). Each “OR” is a chance to use the combination formula to re-arrange the items in that little subgroup.
This helped me so much right before a big test!
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@cheyanne: Thank you! Really glad it helped out :).
hi friend’
please help me with this,
how many arrangements of 10 letters can be made from the letters of the word ‘PHILOSOPHY’. or words like that with repeated letters.
thank you
help me with this question;
a password consist of two letters of the alphabet followed by three digits chosen from 0 to 9 repeats are allowed how different possible passwords are there?
this website helped me a lot, i got the eogs next week
it helped me a lot
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Your article was helpful, however I find one problem on my homework to be extremely challenging for me- maybe I’m blind to something obvious:
At a neighbothood pizza shop, there are 5 veggie and three meat toppings. How manypossible pizzas can you order with one meat topping and one veggie topping?
Thank you very much for your help.
@Sam: Good question. Basically, the 7 is a placeholder telling us where to "stop.
If we have 10 items there are 10! (10 * 9 * 8 * 7 * 6 * 5 * 4 * 3 * 2 * 1) ways to order them. We don’t want to order all 10 though, just 3: so we pick the first 3 items:
10 * 9 * 8
But, we don’t have an easy way (on calculators) to say “Do 10 times 9 times 8 and so on, but only pick the first 3”. So we have to use 10 factorial to get the whole amount, and divide by 7 factorial to cancel out the items we want
10! / 7! = 10 * 9 * 8 [because 7 * 6 * 5 * 4 * 3 * 2 * 1 cancels from top and bottom]
You’re right that the “7” is more of a way to compute this easily with calculators. If you were figuring out possibilities on your own, I’d just do 10 * 9 * 8 directly.
This definitely did help a lot. Thank you so much
very good