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HELPZ

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Any helpful maths anons here? :3

1.How many different 4-digit even numbers can be created, if the first digit is nonzero? Repetition is not allowed.

2.Using the letters of the word MONDAY and calling any arrangement a word (with different letters). How many different 3-letter words can be formed if the vowels and consonants alternate? (English vowels: A, E, I, O and U)

3.How many 3-digit odd numbers can be formed with the digits 1-5, if repetition is allowed?

4.In a Finnish software house, software license codes consists of 6 capital letters. The company uses Finnish alphabet with 29 letters. How many different license codes can be created if the license code should contain “FINL”? No repetition.

5.How many different permutations of 7 letters can be formed using letters in the word MINIMUM?

6.Using the letters of the word MONDAY and calling any arrangement a word (with different letters). How many different 5-letter words which begin with letter A can be formed?

7.A student must choose four courses among French, Spanish, History, Physics, and English. How many different choices are possible?

8.In how many ways can we choose 2 vowels and 3 consonants from the English Alphabet (26 letters)? (English vowels: a, e, I, o, and u.)

9.A school will select 6 students to attend a summer school in Lapland. There are 21 students in the school. How many choices does the school have?

10.Six Finns and six Swedes are to be selected from a group consisting of 12 Finnish and 13 Swedes. How many different choices are possible?

11.A customer will buy 2 chocolate bars and 3 ice cream cones. The shop has a limited choice of sweet products, only 7 chocolate bars and 5 ice cream cones. How many choices does the customer have?

12.A deck of cards contains 13 diamond (red), 13 heart (red), 13 club (black) and 13 spade (black) cards. in how many different ways can four cards be dealt consisting of club cards only? The order is not significant.