Find the number of ways all 10 letters of the the word COPENHAGEN can be arranged so that
1 the vowels(A, E,O) are together and the consonants (C, G,H, N,P) are together
2 the Es are not next to each other.
Four letters are selected from the 10 letters of the word COPENHAGEN.
3 Find the number of different selections if thefour letters must contain the same number of Es and Ns with at least one of each.

answer: sorry but i need points

step-by-step explanation:

i dont know sorry

step-by-step explanation:

the factors of 24 are 1, 2, 3, 4, 6, 8, 12 and 24. hope this ! mark brainliest! you v much! : )

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for