(e) The word SIGNATURE consists of nine letters comprising four vowels (A, E, I and U) and five consonants (G, N, R, T and S). When the four vowels are...
(e) 3 vowels can be arranged in three odd places in 3!ways. Similarly, 3 consonants can be arranged in three even places in 3! ways. Hence, the total number of...
(c) Taking all vowels (IEO) as a single letter (since they come together) there are six letters
Hence no. of arrangements = 6!/2!x3!=2160
[Three vowels can be arranged 3! ways among
themselves, hence...
(b) Required number of possible outcomes
= Total number of possible outcomes –
Number of possible outcomes in which all vowels are together
= 6 ! – 4 ! × 3 != 576
The given words can be arranged in the alphabetical order as:
Haste, Heavy, Hedge, Heredity, Hero, Hesitate, Hindrance, History Clearly, History comes last.
