Question
Find the number of ways to arrange each letter of the
word 'RECREATION' such that all the vowels always come together.Solution
ATQ,
Word: RECREATION Letters: R, E, C, R, E, A, T, I, O, N Vowels: E, E, A, I, O Consonants: R, R, C, T, N Step 1: Treat all vowels as one block Items to arrange → [VOWELS], R, R, C, T, N Total = 6 items, R repeated twice Ways = 6! / 2! = 720 / 2 = 360 Step 2: Arrange the vowels inside the block Vowels → E, E, A, I, O Total = 5 letters, E repeated twice Ways = 5! / 2! = 120 / 2 = 60 Step 3: Total arrangements Total = 360 × 60 = 21,600
Statements:Some pins are needles.
All needles are ropes.
Some ropes are buckets.
All buckets are trees.
Conclusions:I. Some ...
Statements: Some pins are needles.
All needles are ropes.
Some ropes are buckets.
All buckets are trees.
Conclusions:I. some...
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Only a few Blue is Red
All Red is black
Conclusion
I. All Blue being black is a poss...
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Statement:
All Pens are pencil.
Only Pencils are Laptop.
Only Pens are Mobile.
Only Pencils are Book.
Conclusion :...
Statements:
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Only a few Journals are Booklets.
All Booklets are Magazine.
Some Booklets are ...
Conclusions:
I. Some Rings are Bangles.
II. No Necklace is an Ornament.
III. Only a few Anklet are Rings.
Statements:
Three statements are followed by four conclusions numbered I, II, III, and IV. You have to consider these statements to be true, even if they seem at va...
In the question below there are three statements followed by two conclusions I and II. You have to take the three given statements to be true even if ...
