Q82.The number of six letter words (with or without meaning), formed using all the letters of the word 'VOWELS', so that all the consonants never come together, is k is equal to is the term, independent of x, in the binomial expansion of ( x4 โ12x2 )12, then
What This Question Tests
This question tests the ability to solve permutation problems involving constraints, specifically using the complementary counting principle to find arrangements where certain items never come together.
Concepts Tested
Formulas Used
n!
Total arrangements - arrangements where a condition is met = arrangements where condition is not met
๐ NCERT Sections This Tests
8.17 โ Complete Each Synthesis By Giving Missing Starting Material, Reagent Or Products
Chemistry Class 12 ยท Chapter 8
8.17 Complete each synthesis by giving missing starting material, reagent or products
5.15 โ Discuss The Nature Of Bonding In The Following Coordination Entities On The
Chemistry Class 11 ยท Chapter 5
5.15 Discuss the nature of bonding in the following coordination entities on the basis of valence bond theory: (i) [Fe(CN)6] 4โ (ii) [FeF6] 3โ (iii) [Co(C2O4)3]3โ (iv) [CoF6] 3โ
11.6 โ The Threshold Frequency For A Certain Metal Is 3.3 ร 1014 Hz. If Light
Physics Class 12 ยท Chapter 11
11.6 The threshold frequency for a certain metal is 3.3 ร 1014 Hz. If light of frequency 8.2 ร 1014 Hz is incident on the metal, predict the cut- off voltage for the photoelectric emission.
๐ Question Details
- Chapter
- Permutation & Combination
- Topic
- Arrangement problems with constraints
- Year
- 2021
- Shift
- 31 Aug Shift 1
- Q Number
- Q82
- Type
- Numerical
- NCERT Ref
- Class 11 Mathematics Ch 7: Permutations and Combinations
More from this Chapter
Q85.The set S = {1, 2, 3, โฆ , 12) is to be partitioned into three sets A, B, C of equal size. Thus, A โชB โชC = S, A โฉB = B โฉC = A โฉC = ฯ . The number of ways to partition S is (1) 12! (2) 12! 3!(4!)3 3!(3!)4 (3) 12! (4) 12! (4!)3 (3!)4
Q74.In a shop there are five types of ice-creams available. A child buys six ice-creams. Statement -1: The number of different ways the child can buy the six ice-creams is 10C5 . Statement โ2 : The number of different ways the child can buy the six ice-creams is equal to the number of different ways of arranging 6 A's and 4 B's in a row. (1) Statement โ1 is false, Statement โ2 is true (2) Statement โ1 is true, Statement โ2 is true, Statement โ2 is a correct explanation for Statement โ1 (3) Statement โ1 is true, Statement โ2 is true; (4) Statement โ1 is true, Statement โ2 is false. Statement โ2 is not a correct explanation for Statement โ1.
Q75.How many different words can be formed by jumbling the letters in the word MISSISSIPPI in which no two S are adjacent? (1) 8 โ 6C4 โ 7C4 (2) 6.8 โ 7C4 (3) 6 โ 7 โ 8C4 (4) 7 โ 6C4 โ 8C4
Q63.From 6 different novels and 3 different dictionaries, 4 novels and 1 dictionary are to be selected and arranged in a row on the shelf so that the dictionary is always in the middle. Then the number of such arrangements is (1) less than 500 (2) at least 500 but less than 750 (3) at least 750 but less than 1000 (4) at least 1000