Share Permutation - Combination
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P(6,2)
30
C(6,2)
15
A restaurant offers 10 different toppings for burgers. How many different combinations of toppings can you choose for your burger if you can select up to 3 toppings?
C(10,3)
In how many ways can you arrange the digits 1, 2, 3, 4, 5 without repetition?
5! = 120
How many different seating arrangements are possible for 7 people in a row of chairs?
7!
A group of 5 students is selected from a class of 20 for a project team. How many different teams can be formed?
C(20,5)
A club has 8 members. In how many ways can 4 of them be arranged in a row for a photograph?
8x7x6x5
In a group of 11 people, how many ways can you choose a president, vice-president, and secretary?
11x10x9 = 990
A bookstore has 8 different books to display on a shelf. However, they want to arrange the books in such a way that 3 specific books must always be placed together. How many different ways can they arrange the books on the shelf?
6! x 3!
True or False C(12,3) = C(12, 9)
True
True or False P(10,4) = P(10, 6)
False
You have 5 different math textbooks and 6 different science textbooks. How many ways can you arrange these books on a bookshelf if all math textbooks must be together and all science textbooks must be together?
5! x 6! x 2!
In how many ways can 5 people will be selected from 10 people so that the Alhmet, Bahri and Cemal must be in the group?
C(7, 2)
Group of 7 people (A, B, C, D, E, F, G) are sitting in a row. How many different ways they can sit if A, B and C will sit together and D, E will also sit together
4! x 3! x 2!
In a dinner party there are 3 tables and 20 people. How many different ways they can sit if 4 people will sit in one table?
C(20, 4) x C(16, 4) x C(12, 4)
How many different even 2-digit numbers can be created using the digits 0, 2, 3, 4.
3 x 3 =9
