In how many ways can three consonants and two vowels be selected from the letters of the word “TRIANGLE”?

Related Mcqs:

1. Find the number of ways of arranging the letters of the word “MATERIAL” such that all the vowels in the word are to come together?

   A. 720
   B. 1440
   C. 1860
   D. 2160

2. In how many different ways can the letters of the word ‘MATHEMATICS’ be arranged so that the vowels always come together?

   A. 10080
   B. 4989600
   C. 120960
   D. None of these

3. In how many different ways can the letters of the word ‘OPTICAL’ be arranged so that the vowels always come together?

   A. 120
   B. 720
   C. 4320
   D. 2160

4. The perimeter of a triangle is 28 cm and the inradius of the triangle is 2.5 cm. What is the area of the triangle?

   A. 25 cm2
   B. 42 cm2
   C. 49 cm2
   D. None of these

5. The number of arrangements that can be made with the letters of the word MEADOWS so that the vowels occupy the even places?

   A. 720
   B. 144
   C. 120
   D. 36

6. How many 4-letter words with or without meaning, can be formed out of the letters of the word, ‘LOGARITHMS’, if repetition of letters is not allowed?

   A. 40
   B. 400
   C. 5040
   D. 2520

7. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected, if it should have 5 seniors and 5 juniors?

   A. ¹²C₅ * 10
   B. ¹²C₇ * 10
   C. ¹²C₇ * ¹⁰C₅
   D. 12 * ¹⁰C₅

8. A group of 10 representatives is to be selected out of 12 seniors and 10 juniors. In how many different ways can the group be selected if it should have at least one senior?

   A. ²²C₁₀
   B. ²²C₁₀ + 1
   C. ²²C₉ + ¹⁰C₁
   D. ²²C₁₀ – 1

9. Area of a square with side x is equal to the area of a triangle with base x. The altitude of the triangle is:________?

   A. x/2
   B. x
   C. 2x
   D. 4x

10. How many three letter words are formed using the letters of the word TIME?

    A. 12
    B. 20
    C. 16
    D. 24