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- Subject
- Permutations and Combinationsmathematics-mcqs › permutations-and-combinations
- Published
- 24 Jul 2019
- Last updated
- 28 May 2026
Explanation
The word "TRIANGLE" contains five consonants (T, R, N, G, L) and three vowels (I, A, E). The number of ways to pick three consonants out of five is calculated using combinations: 5C3 = 10. Similarly, the number of ways to select two vowels from three is 3C2 = 3. Multiplying these gives the total ways: 10 * 3 = 30.
More Permutations and Combinations MCQs
Practice related questions from the same subject.
- 1.Three flags, each of a distinct color, are used in a military drill to create different signaling codes by waving: I. A single flag of any color II. Any two flags in a specific order III. All three flags in various sequences What is the maximum number of unique codes that can be formed?
- 2.A question paper contains five problems, each with three internal options. In how many different ways can a candidate attempt at least one problem by choosing one option per problem?
- 3.There are 20 male students and 25 female students in a class. How many different pairs consisting of one boy and one girl can be formed?
- 4.A container holds 9 yellow balls, 3 white balls, and 4 red balls. How many different ways can you select two balls from this collection?
- 5.Using the digits {1, 2, 3, 5, 7, 9}, how many distinct four-digit even numbers can be created?
- 6.Using the digits {1, 3, 4, 5, 7, 9} without repeating any digit, how many unique four-digit numbers can be created?
- 7.In how many different ways can six boys and six girls be arranged in a single row for a photograph such that no two girls are seated next to each other?
- 8.A lock features three rotating rings, each displaying six unique letters. What is the maximum number of failed attempts possible before the lock opens?
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