Question

if all the permutations of the letter in the word OBJECT are arranged so that all consonants come together


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Answer 1

Answer:

You have six places to fill.there are four consonants.

_ _ _ _ _ _

Assume those four consonants as 1 letter because it should always be together.

Now you have O, E, BJCT.

These three letters can be arranged in 3! Ways. Now those 4 consonants can be arranged in 4! Ways. Hence 3!*4!=144ways.