Manish wanted to learn three different languages each from a different family of language. He wanted to learn one language from three Dravidian languages, Toda, Tulu and Gondi; one language from three Romance languages, Catalan, Romanian and Latin; one language from three Afro-Asiatic languages, Hausa, Oromo and Amharic.However, he must select the three languages that he wants to learn subject to the following criteria:If he selects Toda, he cannot select Oromo.If he selects Catalan or Hausa, he cannot select Gondi.If he selects both Tulu and Romanian, he must select Amharic.He cannot select both Toda and Catalan.If he selects Latin, he cannot select Amharic.Question:11DIRECTIONS for questions 11 to 13: Select the correct alternative from the given choices.In how many ways can Manish select the three languages?

The question is asking for the number of ways Manish can select three languages, given the constraints provided.

Let's break down the possibilities:

1. From the Dravidian languages, he can choose either Toda, Tulu, or Gondi. That's 3 options.

2. From the Romance languages, he can choose either Catalan, Romanian, or Latin. That's 3 options.

3. From the Afro-Asiatic languages, he can choose either Hausa, Oromo, or Amharic. That's 3 options.

However, we have to consider the constraints:

• If he selects Toda, he cannot select Oromo. This eliminates one option (Toda and Oromo).
• If he selects Catalan or Hausa, he cannot select Gondi. This eliminates two options (Catalan and Gondi, Hausa and Gondi).
• If he selects both Tulu and Romanian, he must select Amharic. This is not a constraint that eliminates options, but rather one that forces a specific choice.
• He cannot select both Toda and Catalan. This eliminates one option (Toda and Catalan).
• If he selects Latin, he cannot select Amharic. This eliminates one option (Latin and Amharic).

So, initially we have 333 = 27 options. But we have to subtract the options that are eliminated by the constraints.

We have 5 constraints that each eliminate 1 option, so we subtract 5 from 27, which gives us 22.

Therefore, Manish can select the three languages in 22 different ways.