Permutations with identical terms questions help, please, please, please, i appeal, i appeal, please answer it?
1. How many 7 digit even numbers less than 3000000 can be formed using all the digits 1, 2, 2, 3, 5, 5, 6?
2. As a project for the photography class, Haseeb wants to create a linear collage of photos of his friends. He creates a template with 20 spaces in a row. If Haseeb has 5 identical photos of each of 4 friends, in how many ways can he make his collage?
3. A used car lot has four green flags, three red flags, and two blue flags in a bin. In how many ways can the owner arrange these flags on a wire stretched across the lot? Explain your reasoning.
4. Malik wants to skateboard over to visit his friend Gord who lives six blocks away. Gord's house is two blocks west and four blocks north of Malik's house. Each time Malik goes over, he likes to take a different route. How many different routes are there for Malik if he only travels west or north?
(1) There are 7! /(1! 2! 1! 2! 1!) ways.
(2) 20! / (5! 5! 5! 5!) ways.
(3) 9! / (4! 3! 2!) ways.
(4) C(4 + 2, 2) or 6!/(4! 2!) ways.
Do you see a pattern?
Introducing Nimbus - The New Web for Photographers...
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