pl on paper

1. A password must be7 or 8 characters long, and may include capital letters, lowercase letters, and/or digits. There isno repetition permitted (note that a capital letter is considered to be a different character than its corresponding lowercase letter). How many of these passwords containat least one vowel(A, E, I, O, U, capital or lowercase)?

2.You are creating arrangements of the lettersANGELKU.

1. How many of the arrangements have all theconsonants placed in the odd positions(1st letter, 3rd letter, 5th letter, 7th letter)?
2. What is theprobabilityof creating one of the arrangements from part a?

3.Explain the difference between10! and₁₀P₇ in terms ofwhat you are arranging.