There are 4 different Mathematics books and 5 different Science books. In how many ways can the books be arranged on a shelf if a. there are no restrictions? b. books of the same subject must be placed together? c. if they must be placed alternately?

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en the letters A, B, C, D, E, F, the number of 3 letter groups that can be made. B. Given 6 people in a club, the number of 6 person committees that are possible C. Given 6 people in a club, the number of ways that a president, secretary and treasurer L0Zd mu2 աալի Given 6 disting ds, the number of INIC. How many arrangements can be made using all the letters in the word OSOYOOS. A. 5040 B. 210 C. 2520 D. 105 the number of arrangements for theard TATTOO given that that the word be poppin. 2) The expression 321 x 320 x 319 x 318 can be simplified as nPr. The value of n + r =

A doctor visits her patients during morning rounds. In how many ways can the doctor visit 8 patients during the morning rounds?

Q12. In how many ways can 12 doctors set in ?a round table

Twelve classmates are taking a picture side by side.  A. In how many ways can they take the picture if there are not restrictions? B.  In how many ways can they take the picture if two best friends must stand side by side?  C. Using the results from A and B, in how many ways can the best friends not stand side by side?

After gym class you are tasked with putting the 28 identical dodgeballs away into 6 bins. many ways can you do this if there are no restrictions? a. How b. How many ways can you do this if each bin must contain at least one dodgeball? - →

There are 10 students in a class. In how many ways can an instructor give exactly three students a grade A?

At a bus stop, 11 passengers get on a bus with 3 empty seats. In how many different ways can these passengers be seated? (

A candy company packages it's boxes of chocolates in the following way:  24 candies= 1 box  12 boxes= 1 flat  12 flates = 1 crate  a. how many boxes are in four crates?  b. how many candies are in three crates?  c. how many candies are in two crates,three flats, and one box?  d. how would 14,832 candies be packaged?