Question

Passage:

If all the permutations of the letters in the word OBJECT are arranged.

1.All the consonants come together.

a)3! * 5! b)5! *4! c)6! d)3! *4!

2,No to vowels come together.

a)3! *4! b)4! *5p2 c)4p2 *5! d)3p2 *4p2

3.Relative positions of vowels and consonants are not disturbed.

a)6! b)4! *2! c)5! *2! d)2!

Answer 1

Answer:

1)d    2)b    3)b

Step-by-step explanation:

1) we need to group 4 consonants and treat it as 1 enitity.

so 1 group of consonant and 2 vowels can be arranged arranged in 3! ways

and 4 consonants in the group can be arranged in 4! ways.

so answer is 3!*4!

2) We can arrange 4 consonants in 4! ways and to avoid vowels coming together we can place them in the 5 places among consonants shown here

_C_C_C_C_   (C denotes consonant and we find 5 positions for 2 vowels)

2 vowels can be placed in 5 positions in 5P2 ways.  

so answer is 5P2*4!

3) Here we need to note that in 1st and 4th position we have vowels and remaining positions are taken by consonants.

2 vowels arranged in their 2 positions in 2 ! ways and 4 consonants can be arranged in their respective positions in 4! ways.

Hope its helps

so answer is 2!*4!