Permutation & Combination Solved Questions For IBPS, SBI and Other Bank Exams - Page 3

You will find 19 problems in 5 pages..

Permutation & Combination Solved Questions (Page 3 of 5)

Question 1

In how many ways, can the letters of the word "TELEVISION" be arranged?

a) 907200 b) 1814400 c) 40320 d) none of these

Answer : a) 907200

Solution :

The word television contains 10 letters, namely one T, two E, one L, one V, Two I, one S, one O and one N.
Therefore, required number of ways = 10!/1!2!1!1!2!1!1!1!
= 10!/2!2! = 1 x 2 x 3 x .... x 10 / 4 = 907200


Question 2

How many 3 letters words (with or without meaning) can be formed out of the letters of the word, "SWITCHBOARD", if repetition of letters is not allowed?

a) 1000 b) 9900 c) 990 d) none of these

Answer : c) 990

Solution :

The word Switchboard contains 11 different letters.
Required number of words = number of arrangements of 11 letters taking 3 at a time.
= 11p3 = 11 x 10 x 9 = 110 x 9 = 990.


Question 3

In how many ways can the letters of the word "LIGHT" be arranged(using each letter exactly once) ?

a) 60 b) 120 c) 240 d) none of these

Answer : b) 120

Solution :

The word light contains 5 different letters.
Required number of words = number of arrangements of 5 letters taken all at a time = 5p5 = 5! = 120


Question 4

In how many ways can the letters of the word " SOLUTION" be arranged so that the vowels always come together?

a) 120 b) 240 c) 24 d) none of these

Answer : a) 120

Solution :

In the word SOLUTION, we treat the vowels O U I O as one letter.
Thus, we have SLTN(OUIO).
Now, we have 5 different letters.
Then, required number of words = 5! = 120


Permutation & Combination Solved Questions (Page 3 of 5)

Prepare Fast And Score Well In SBI & IBPS, PO & Clerk Exams

Related pages


best book for bank examsprobability dice questionspragati grameen banktypes of numbers venn diagramtmb indiaaptitude test on probabilitymadhya pradesh gramin banksaurastra gramin bankratnakar bank careerssbi clerical exam model paperssolve cube root problemssyllogisms practicecredit card allahabad banksurds practicebest book for bank clerk examibps po clerkibps tipsquestions on surds and indicespo ibpsvysya bank careerstamilnadu international airportantonyms for divulgepermutation and combination word problemssurds practicerbi exam questions1st governor of rbia geometric progressionallahabad gramin banksolved examples of compound interesttmb airportsbi clerk exam 2014simple interest and compound interest problemssbi bank clerk examibps bank po exam paperssurds questionsmadhya pradesh international airportsbi bank clerk examibps banking examthe sum of any seven consecutive numbers is divisible byantonyms improvesyllogism questions and answersibps careerstypes of cisternarrange the alphabetspermutation questions and answerssyllogism questions with possibilityantonyms for solemnsbi bank examsbi current affairspallava grama banksbi clerk exam papersbi bank examclosest synonymsmaths profit and loss examplessaurashtra grameen banksyllogism examples for bank pohow to solve reasoning puzzleshcf questionsrajyapal of all statescomputer fundamentals for bank examsbank ibpsmixture and allegationpandit ravi shankar affairschief ministers of india listantonyms for sparselogical aptitude questions and answersprobability dice questionsbank clerk booksaptitude test on probabilityallahabad grameen bankup sarva gramin bankaptitude on probabilityhow many types of cheques in bankmixture and allegationantonyms and synonyms for bank examsdice questions probabilityarithmetic problems for competitive examssyllogistic reasoning questions and answers