







3 digits from 7 digits 
20190602 

From Corban: HOW MANY COMBINATION ARE THERE USING 3 DIGITS NUMBERS ONLY 17
ie 137 731 317 456 654 123 321 248 Answered by Penny Nom. 





Arrangements of the letters STRANGE 
20150822 

From Ravi: In how many ways can the letters of the word STRANGE be arranged to that the vowels occupy only the old places. Answered by Penny Nom. 





In how many ways can 12 members of volleyball team line up ... 
20111118 

From Aatir: In how many ways can 12 members of volleyball team line up if the captain and assistant captain have to remain together. Answered by Penny Nom and Stephen La Rocque. 





Arrangements of ten letters 
20110415 

From Mustafa: In how many ways can the ten letters of the word GELATINOUS be arranged
in a line so that the vowels are in alphabetical order (not necessarily together)
when read from left to right? Answered by Penny Nom. 





Arrangements 
20090820 

From Anna: How many arrangements of FATHER can be made if all the vowels must be kept together? Answered by Leeanne Boehm. 





Rearrangements of 8028842 
20090717 

From Con: How many different 7digit numbers can be made by rearranging the digits in the number 8028842? Answered by Penny Nom. 





0123456789 
20090325 

From Dr.: Many years ago I discovered that there are 33 numbers which,
when multiplied by 0123456789, simply rearrange the digits. Surprisingly
(to me at least) is the fact that the digits of all of those 33 numbers add up
to one of the 6 "cardinal" numbers 1, 2, 4, 5, 7, and 8. For example
6 + 2 = 8 and 62 X 0123456789 = 7654320918 etc.
Another interesting (to me) fact is that only the cardinal numbers
1, 2, 4, 5, 7, and 8 rearrange the digits in the number 9876543210.
My question is: "Is this known to anyone but me and the people I have
told?" Answered by Robert Dawson. 





Seating 8 people in a row 
20090215 

From raymond: In how many ways can 4 boys and 4 girls be seated in a row if they may sit anywhere Answered by Penny Nom. 





4 digit arrangements of 7 3 6 6 
20090205 

From Carole: I need all the four digit combinations using the numbers 7 3 6 6 Answered by Penny Nom. 





Smallest Even Number 
20080709 

From Ma.: Using the digits 0, 1, 3, 4, and 5 only once give the smallest 5digit even number Answered by Janice Cotcher. 





Escort cards on a rectangular table 
20080613 

From Susan: What size rectangular table will we need to put 230 2" X 3.5" escort cards on for my daughter's wedding reception with a spacing of .5 inch between them on all sides? Thanks so much for your help Answered by Penny Nom. 





How many different ways can cards fall when shuffling? 
20080609 

From Twyla: How many different ways can cards fall when shuffling? In other words,
if you have 52 numbers, each one unique, how many different ways can
they be arranged, using each number only once? Answered by Penny Nom. 





Rearrangements of the digits in 0123456789 
20080323 

From Joe: Found a close problem but not quite.
Using digits 0123456789, how can I figure what all the different
possibilities would be without repeating any digits?
I know that there are 10! possible answers but how can I figure out what
they are? Answered by Stephen La Rocque. 





All possible arrangements of the word "PROBLEM" 
20080225 

From student: Consider all possible arrangements of the word "PROBLEM". If a word is picked at random, find the probability that
(a) the word starts with a vowel
(b) the word ends with a consonant. Answered by Harley Weston. 





Arrangements of children by age 
20070902 

From shani: How many different arrangements of children by age can there be in families with four children?(hint: Boygirlboygirl is different from boygirlgirlboy. Presume there are no twins)
The hint is more confusing than the question. Answered by Penny Nom. 





Rearranging the alphabet 
20070818 

From samhita: Find the number of ways of arranging 26 letters in the English alphabet in a row such that there are exactly 5 letters between x and y. Answered by Stephen La Rocque and Penny Nom. 





How many arrangements are there? 
20060416 

From Jim: Can you tell me how many different combinations there are using 3 letters and 4 numbers. Letters first then numbers, example aaa0001, aaa0002, aaa0003,baa0001, baa0002, zzz9999. Answered by Stephen La Rocque. 





A seating arrangement 
20050203 

From Kay: If you have 5 married couples, how many arrangements can be made if they must sit across from each other? Answered by Penny Nom. 





Arrangements around a circular table 
20031007 

From Lori: How many arrangements can 6 people be seated round a circular table? Answered by Penny Nom. 





Runs 
20030316 

From Diana: How many arrangements are there with n 0's and m 1's, with k runs of 0's? (A run is a consecutive set [1 or more] of the same digit; eg. 000 111 0 11 00 has three runs.) Answered by Penny Nom. 





Arranging some numbers 
20010114 

From Denise: Arrange the following numerals in two groups of four each so that each group will add to give the same sum. 1 2 3 4 5 7 8 9 Answered by Penny Nom anf Claude Tardif. 





Calculator and telephones keypads phones 
20000627 

From Thomas Smith and Veronica YatesRiley: On a keyboard, why is the number "7" on the top of the keypad as opposed to the number "1" at the top a telephone keypad? Answered by Penny Nom. 

