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
Statement: F ≥ G > I > E ≤ P, E = S ≥ PÂ
Conclusion: I. F ≥ P         II. G > P
Statement: Y < Z > I < Q > S = M ≤ N
Conclusions:
I. S= N
II. Q > M
Statements: P = Q = R > S > T > Z; U > R < V < W > X
Conclusions:
I. W > Z
II. R < W
III. R < X
In the question, assuming the given statements to be true, find which of the conclusion (s) among given three conclusions is /are definitely true and ...
Statements: E < F > G; H < I ≤ F; E > D
Conclusions:
I. F > D
II. H < E
III. G < DWhich of the following will be definitely false if the given expression F > G ≥ H > I ≥ J > K = M ≤ N > L ≤ O is definitely true?
Statements: Â M @ N, P @ R, P & N
Conclusions:Â Â Â Â Â a ) M @ PÂ Â Â Â Â Â Â Â Â Â Â Â Â b) R & M
...Statement: F < G; H ≥ I; H ≥ K; I > G ≥ J
Conclusion:
I. G > K
II. K > J
Statements: S = R, T ≤ U, O < J, T ≤ J, U > R
Conclusion:
I. R ≥ T
II. R < T
Statement: D < F; D ≥ E > G; I ≥ H > F
Conclusion:
I. G ≥ F
II. H ≥ D