Machine-translated by Google. Questions are authored in English.
Top

Permutations & Combinations Questions and Answers

Important Instructions
111.

A two number committee comprising of one male and the female number is to be constituted out of five male and 3 females. Amongst the females, Ms. A refused to be number committee in which Mr.B is taken as the number of how many different ways can the committee be constituted?

Answer: C

For each visualization let us name the females and Females(3) Males(5) 

A B C D E F G H 

Since A cannot go with B. 

She will make team with four males in four ways AD,AF,AG,AH.

Since there is no compulsion with females C and E. 

They can make team with 5 males in 5 different ways each. 

Therefore, Total number of ways = 4+5+5 =14

Please log in or register to report this question.

112.

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?

Answer: C

LOGARITHMS has ten letters, all different, and a word is an ordered arrangement.

\[ {}^{10}P_{4} = 10 \times 9 \times 8 \times 7 = 5040 \]

The corresponding combination \( {}^{10}C_{4} = 210 \) would count only which four letters are used, ignoring their order.

Please log in or register to report this question.

Loading…
Tags: Permutations & Combinations Questions and Answers || Permutations & Combinations MCQ Questions and Answers || Permutations & Combinations GK Questions and Answers || Permutations & Combinations GK MCQ Questions || Permutations & Combinations Multiple Choice Questions and Answers || Permutations & Combinations GK || GK on Permutations & Combinations || Quantitative Aptitude Questions and Answers || Quantitative Aptitude MCQ Questions and Answers || Quantitative Aptitude GK Questions and Answers || GK on Quantitative Aptitude