ACT Math › How to find the greatest or least number of combinations
The menu above is from Lena’s Italian Kitchen. If you are going there for dinner, how many different combinations of a meal and a salad are there?
Sally is putting on jewelry and has decided to wear one necklace, one pair of earrings, and one ring. Her jewelry collection is listed below. How many different combinations of jewelry can she wear?
Necklace | Earrings | Ring |
---|---|---|
short | studs | gold |
long | hoops | silver |
dangling |
You work as a health inspector and must visit each of the 15 restaurants in town once each week. In how many different orders can you make these inspections?
At a party with 9 guests, every guest shakes every other guest’s hand exactly once. How many handshakes are exchanged during the party?
When two people shake hands with each other, that counts as one handshake.
How many ways can 10 people win a race if ribbons are given for first, second, and third places?
How many different 5 letter computer passwords are possible, assuming that letters cannot be repeated?
A candy shop sells Valentine's Day gift baskets that consist of chocolates, a basket, and a card. If there are five different types of chocolate, three types of baskets, and ten options for cards, how many different gift basket combinations are there?
A student is taking a test consisting of six questions. It is a multiple choice test and each question has four answers labelled A, B, C, and D. How many ways can the student answer all six questions if he does not choose the same answer for any two consecutive questions?
A locker combination consists of three different numbers from the set of 30 different numbers on the face of the lock. Imagine that you have forgotten the combination. How many times do you have to try to find the right combination?
A university can send 3 track athletes and 2 field athletes to an upcoming sports event. The university has 14 track athletes and 10 field athletes who qualify. How many different teams can be chosen to attend the sports event?