The letters of the alphabet can be sorted into the followingcategories:1. FGJLNPQRSZ2. BCDEK3. AMTUVWY4. HIOXWhat defines the categories?

An administrator conducted a survey of the school's leadership team to see some of the clubs they were involved in and created the following table of information. Math Club Name Spanish Club Beta Club Anthony Bill Catherine Devin Evan Fred Gina Heath Iris Jeb Kathy Which students would be in the set (Math Club n Beta Club)? (Just the first letter of each students name is shown in the sets below)

Eyeglassomatic manufactures eyeglasses for different retailers. They test to see how many defective lenses they made in a time period. The folllowing table gives the type of defect and the number of lenses with that defect. Assume categories are mutually exclusive.

Use the following information to answer the next question Leonidas is having a party and is planning to play some great music over the dinner hour. He made a short list of 18 songs that include 10 classical songs and 8 jazz songs. Over the dinner hour it is decided that of the 18 songs, 4 classical songs and 3 jazz songs will be selected, and then arranged into an order to be played. To determine the number of potential music arrangements for the party the following expressions were created: i) 10C4 X 8C3 X 7! ii) 10P4 8P3 iii) (¹0)(3) × 5040 iv) 18P7 v) (10 x 9 x 8 x 7) × (8 × 7 × 6) vi) 11. How many of the above expressions are correct? a) 5 b) 4 (10x9x8x7) (8x7x6) X 4! 3! c) 3 x 7! d) 2

There are 30 total anagrams of the word memes. I listed all 30 and could only find 4 deranged anagrams. Why is it 11 and not 4? The only 4 I could find are EMSME, ESEMM< SMEME, EMESM

nick and Casey are playing darts on the board that has five regions labeled  a, b, c, d, and e   in which of the regions is a dart most likely to fall?

Assume that there is a group of 13 students making presentations on 3 issues: parking fees, recreational sports facilities, and cafeteria quality. One student is selected to be primarily responsible for each issue. No one has responsibility for more than one issue. In how many ways can the issues be assigned?