Question

How many ways can the letter of the word JUPITER be arranged in a row so that vowels appears in alphabetic order?

Answer 1

is it 840?

Answer 2

i think it is 5!

Answer 3

7X6x5x4x3x2x1

Answer 4

oh i am way wrong.

Answer 5

i was thinking they had to be in alphabetical order in a block. but it just says "alphabetical order" so for example JEPITUR wold be ok

Answer 6

yes you are correct it can be one of the possible arrangement

Answer 7

EIUJPTR is also one of the arrangement

Answer 8

yes it is 840

Answer 9

\[\frac{7!}{3!}\]

Answer 10

without the restriction it would just be 7! but with it you have counted 3! = 6 times too many since the three vowels must appear in order.