Permutations And Combination Mcq Model Questions & Answers, Practice Test for ssc chsl tier 1 2024
ssc chsl tier 1 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Simplification
Power, Indices And Surds
Time & Work
Time & Distance
Mensuration
Profit & Loss
Alligation & Mixtures
Simple Interest
Probability
Permutations & Combination
Total number of ways in which six '+' and four '–' sings can be arranged in a line such that no two '–' sings occur together, is
Answer: (c)
First we write six '+' sings at alternate places i.e., by leaving one place vacant between two successive '+' sings.
Now there are 5 places vacant between these sings and these are two places vacant at the ends. If we write 4 '–' sings these 7 places then no two '–' will come together. Hence total number of ways $^7C_4$ = 35
In how many different ways can the letters of the word JUDGE be arranged so that the vowels always come together?
Answer: (c)
Reqd. number = 4! × 2! = 24× 2 = 48
4 boys and 2 girls are to be seated in a row in such a way that the two girls are always together. In how many different ways can they be seated?
Answer: (d)
Assume the 2 given students to be together (i.e. one).
Now these are five students.
Possible ways of arranging them are = 5! = 120
Now they (two girls) can arrange themselves in 2! ways.
Hence total ways = 120 × 2 = 240
Three dice are rolled. The number of possible outcomes in which at least one dice shows 5 is
Answer: (d)
Required number of possible outcomes = Total number of possible outcomes – Number of possible outcomes in which 5 does not appear on any dice. (hence 5 possibilities in each throw)
= $6^3 – 5^3$ = 216 – 125 = 91
There are 6 tasks and 6 persons. Task 1 cannot be assigned either to person 1 or to person 2; task 2 must be assigned to either person 3 or person 4. Every person is to be assigned one task. In how many ways can the assignment be done?
Answer: (c)
Task 1 can not be assigned to either person 1 or 2 i.e. there are 4 options.
Task 2 can be assigned to 3 or 4
So, there are only 2 options for task 2.
So required no. of ways = 2 options for task 2 × 3 options for task 1 × 4 options for task 3 × 3 options for task 4 × 2 options for task 5 × 1 option for task 6.
= 2 × 3 × 4 × 3 × 2 × 1 = 144
ssc chsl tier 1 2024 IMPORTANT QUESTION AND ANSWERS

Number System Aptitude MCQ Test For SSC CHSL [2024] Tier 1 »

Simplification Aptitude MCQ Test For SSC CHSL 2024 Tier 1 »

Surds & Indices Aptitude Questions: SSC CHSL 2024 Tier 1 »

Time & Work Aptitude Questions Test: SSC CHSL 2024 Tier 1 »

Time & Distance Aptitude Questions Test For SSC CHSL 2024 »

Mensuration Aptitude Questions Test: SSC CHSL 2024 Tier 1 »

100+ Profit and Loss Questions with Solutions PDF SSC »

55+ Mixture and Alligation Questions Answers PDF SSC »

100+ Simple Interest Model Questions with Solutions, PDF »

Top 100+ Probability MCQ Questions and Answers PDF: SSC »

Top Permutation and Combination Practice Questions PDF »
ssc chsl tier 1 2024TOPICS
Read More
All Exams

SSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification 
BANKING
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification 
TNPSC
»
Model MCQ Test [Syllabus Wise], Syllabus, Notification
RECENT BLOGS
Recently Added Subject & Categories For All Competitive Exams
Top 100+ English Jumbled Sentences MCQ with PDF for RBI
Very important Jumbled Sentences questions with answers PDF for RBI. 100+ General English practice exercises for all Bank, Govt, and Competitive Exams
Continue Reading »
Top 199+ Percentage Aptitude Online Test For UPSC TNPSC
Problems on percentage aptitude problems solving with the help of allegations & mixture method. Get all easy, quick shortcuts, formulas, methods & techniques
Continue Reading »
100+ Quadratic Equations MCQ with Solution PDF for SBI
Top Quadratic Equations Aptitude MCQ questions with detailed solutions, download PDF. Practice 100+ model exercises for RBI, all Govt, and Competitive Exams
Continue Reading »
Simple Interest Aptitude MCQ Questions Solutions PDF SBI
Recent Simple Interest Aptitude MCQ questions with detailed solutions, download PDF. Practice 100+ model exercises for RBI, all Govt, and Competitive Exams
Continue Reading »