Question

1. Consider the word "engineering". (a.) How many distinct arrangements of the letters are there? (b.) How many distinct arrangements are there if the letter "r" must always occur before any of the vowels?

Answer 1

Solutions engineering pokal number of words is 12 Number of distinct words is s Reated time e - 3 times n - 3 times g → a times í - a times r - 1 times 6 for Number of arragement 3X3! *2! x21 399)6800 144 297200 Total number of latters of distinct arrangements engineering is d77200 D Total distinct not vowels in words is 2 ce, i) Total number of vowels is 5

is - - first we Number of choice choire 6 is position out of Ice 462 Amy then in selected possion we amange the letter ee, e, i, i, g as given condition of then amage it e I the number of way are : 10 then semaining s position we asmange n og - The number of way a - O s ! Bid! = 10 12 =10 : f cloxlox 4462 = 46200 Total number o amandement