NIMCET 2013 — Mathematics PYQ

1. Analyze the word "CORPORATION":

• Total letters = $11$

• Vowels: $O,O,A,I,O$ (Total $5$ vowels)

• Consonants: $C,R,P,R,T,N$ (Total $6$ consonants)

2. Group the vowels:

Since all vowels must come together, we treat $(OOAIO)$ as one single unit.

• New count of entities = $6$ consonants + $1$ vowel unit = $7$ entities.

3. Arrange the 7 entities:

In these 7 entities, the letter '$R$' is repeated twice.

4. Arrange the vowels within their unit:

In the vowel unit $(OOAIO)$, there are $5$ letters where '$O$' is repeated three times.

5. Total number of ways: