Permutation And Combination Ques 2
Question-
In how many different ways can the letters of the word ‘CANDIDATE’ be arranged in such a way that the vowels always come together?
(1) 4320
(2) 1440
(3) 720
(4) 840
(5) 1560
(IBPS Bank PO/MT CWE-V Main Exam. 31.10.2015)
Show Answer
Correct Answer: (1)
Solution: (1)
In the word CANDIDATE, letters C, N, D, D, T are consonants and $A, I, A, E$ are vowels.
We have to arrange C, N, D, D, T (A I A E) in which ’ $D$ ’ comes twice and A comes twice.
$\therefore$ Number of arrangements $=\frac{6 ! \times 4 !}{2 ! 2 !}$ $=\frac{6 \times 5 \times 4 \times 3 \times 2 \times 4 \times 3 \times 2}{2 \times 2} =4320 $
BETA
