Question
Find the number of ways to arrange each letter of the
word 'PROFESSION' such that all the vowels always come together.Solution
Number of letters = 10
Take all the vowels (OEIO) as one entity.
Number of letters now = 6 + 1 = 7!
Number of ways to arrange all the letters = 7! ÷ 2! = 5040 ÷ 2 = 2,520
Number of ways to arrange vowels = 4! ÷ 2! = 24 ÷ 2 = 12
Required number of ways = 2,520 × 12 = 30,240
More Permutation and combination Questions
What will come in the place of question mark (?) in the given expression?
(122 - 82 ) of 52 + 52 = ?2
2/5 of 3/4 of 7/9 of 7200 = ?
√10404 + √9604 - ∛1728 - ∛42875 = ?
- What will come in place of the question mark (?) in the following questions?
The value of (40 + 3/4 of 32) /[37 + 3/4 of (34-6)] is:
35 × 540 ÷ 18 of 15 – ? = 15
55.55% of 30000 – 1111 = ? × 1111
3 √(432 – 13 + 9 × 32) = ?
1540 ÷ 7 - 184 ÷ 8 = ?
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