permutations and combination mcq Model Questions & Answers, Practice Test for ibps rrb so officer sclae 2 3 single exam 2024
ibps rrb so officer sclae 2 3 single exam 2024 SYLLABUS WISE SUBJECTS MCQs
Number System
Lcm & Hcf
Ratio & Proportion
Percentage
Time & Work
Mensuration
Advance Math
Trigonometric Ratios & Identities
Average
Profit & Loss
Alligation & Mixtures
Compound Interest
Linear Equations
Quadratic Equations
Probability
Permutations & Combination
The total number of ways in which 8 men and 6 women can be arranged in a line so that no 2 women are together is
Answer: (b)
8 men can sit in a row in $^8P_8$ ways.
Then for the 6 women, there are 9 seats to sit
∴ the women can sit in $^9P_6$ ways
∴ total number of ways = $^8P_8 . ^9P_6$
In how many ways can 12 papers be arranged if the best and the worst paper never come together?
Answer: (d)
All arrangements – Arrangements with best and worst paper together = 12! – 2! × 11!.
Out of 10 consonants and four vowels, the number of words that can be formed using six consonants and three vowels is
Answer: (a)
Six consonants and three vowels can be selected from 10 consonants and 4 vowels in $^10C_6 × ^4C_3$ ways.
Now, these 9 letters can be arranged in 9! ways. So, required number of words = $^10C_6 × ^4C_3$ × 9!.
In how many ways can the eight directors, the vicechairman and the chairman of a firm be seated at a roundtable, if the chairman has to sit between the vice-chairman and the director?
Answer: (b)
Let the vice-chairman and the chairman from 1 unit along with the eight directors, we now have to arrange 9 different units in a circle.
This can be done in 8! ways.
At the same time, the vice-chairman & the chairman can be arranged in two different ways. Therefore, the total number of ways = 2 × 8!.
If 5 parallel straight lines are intersected by 4 parallel straight lines, then the number of parallelograms thus formed is
Answer: (b)
Number of parallelograms = $^5C_2 × ^4C_2$ = 60.
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