







When are the hands of a clock perpendicular? 
20180111 

From Nazrul: How many times in a day are the hands of a clock perpendicular to each other? How can I find the times? Please help me. Answered by Penny Nom. 





Shaking hands at a party 
20141203 

From Nazrul: At a party, everyone shook hands with everybody else. There were 66 handshakes. How many people were at the party?
Please help me. Answered by Penny Nom. 





4 card hands 
20141102 

From Ronaldo: How many Mus hands (combination of 4 cards allowing repetitions)
can be made from a deck containing 8 types of cards?
RRRR, RRRC, RRRS, RRR7, RRR6, RRR5, RRR4, RRRA,
RRCC, RRCS, RRC7, RRC^, RRC5, RRC4, RRCA,
RRSS, RRS7, etc.
I think 330. If so, what is the formula? Answered by Penny Nom. 





How many 5 card hands in a deck of 52 have 2 aces and 3 other cards? 
20100323 

From Travis: How many 5 card hands in a deck of 52 have 2 aces and 3 other cards? Answered by Penny Nom. 





How many handshakes took place? 
20090415 

From wm: Suppose every member of the House of Representatives shakes
hands with every other member exactly once.
How many handshakes took place ? Answered by Penny Nom. 





License plates and poker hands 
20090314 

From CC: You have a license plate it can have 6 numbers/letters you can use the numerals 09 and the letters AZ how many combos are possible and how did you figure it out?
Question 2,
Your dealt an Omaha hand You have KKKQQ, how many different hands can consist of the same cards. Answered by Harley Weston. 





How many handshakes take place? 
20080626 

From Peter: Eight people of different heights are at a party. Each person decides to only shake hands with people shorter than him/herself. How many handshakes take place?
My math book says it is 0. Is it wrong? If so, what is the answer? Answered by Harley Weston. 





A five card hand of playing cards with all 4 tens 
20080625 

From shari: of the 2598960 different five card hands from a deck of 52 playing cards. how many would contain all ten's? Answered by Janice Cotcher. 





The angle between the hands on a clock 
20080404 

From Kristin: The question I need help with is : Bobo looked at the clock at 1:25. What was the precise measure of the angle formed by the hour and minute hands of the clock? Assume that each of the clock hands moves at a constant rate continuously around the face of the clock. Thus, in any given fractional part of an hour, each hand will move that same fractional part of an hour's worth of movement. Answered by Stephen La Rocque. 





Handshakes at a twenty person party 
20080225 

From Chris: Twenty people have gathered at a party. Find the number of handshakes when each person shakes hands with everyone else at the party. Answered by Penny Nom. 





2 aces and 3 kings 
20071005 

From Becky: How many 5card poker hands consisting of 2 aces and 3 kings are possible with an ordinary 52card deck? Answered by Penny Nom. 





A handshake problem 
20030331 

From Jaylan: Suppose you and your partner attend a party with n other couples. Several handshakes took place. No one shook hands with himself (or herself) or with their partner, and no one shook hands with the same person more than once. After all the handshaking was completed, suppose you asked each person, including your partner, how many hands they had shaken. Each person gave a different answer.
Determine how many hands did you shake and how many hands did your partner shake when n=5 Answered by Penny Nom. 





Some 5 card hands 
20020328 

From A student: From a standard deck of cards how many 5 card hands are possible consisting of a. exactly 4 hearts
b. two cards of one kind and three of another(like a full house). Answered by Penny Nom. 





A handshake problem 
19990105 

From Nick Lam: There are 40 people at a party. 1 host couple, a mom and her daughter. There are 19 other guest couples, composed of moms and their daughters. The Host couple shakes hands with everyone except each other. Each guest mom shakes hands with everyone but their own daughter. Each guest daughter shakes hands with everyone except their own mom. A hand shake between two people is considered to be one handshake. HOW MANY HANDSHAKES ARE THERE? Answered by Penny Nom. 

