Mathematics - Probability Question with Solution | TestHub

MathematicsProbabilityGeneral (Event SS, Definitions, Odd against/Favour)Medium2 minQB

MathematicsMediuminteger

If the number of ways can the letters of the word INSURANCE be arranged, so that the vowels are never separated is $(1080) n$ then the value of ' $n$ ' is

Answer:

Solution:

The word INSURANCE has nine different letters, combining the vowels into one bracket as (IUAE) and treating them as one letter we have six letters viz.

(IUAE), N, S, R, N, C and these can be arranged among themselves in $\frac{6 !}{2 !}$ ways and four vowels within the bracket can be arranged themselves in 4 ! ways. Required number of words $= \frac{6 !}{2 !} \times 4! = 8640$

Stream:JEESubject:MathematicsTopic:ProbabilitySubtopic:General (Event SS, Definitions, Odd against/Favour)

⏱ 2mℹ️ Source: QB

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