In how many ways can the letters of the word 'PRAISE' be arranged. So that vowels do not come together? 

(a) 720 (b) 576 (c) 440 (d) 144 (e) None of these

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1 Answers

(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

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