Probability Questions for IBPS Clerk

Probability Questions for IBPS Clerk

Probability Questions for IBPS Clerk 2015 Exam

1. In how many ways letter of the world BANKING can be arranged so that vowels always come together? (IBPS Clerk 2015)
(a) 240
(b) 120
(c) 720
(d) 540
(e) None of these

Quantitative Aptitude

Probability Questions for IBPS Clerk 2015 Answers

1. (c)
[(6!)/(2!)] × (2!)= 360 × 2 = 720 [(6!)/(2!)] = letters formed, 2!-Vowels

Probability Questions for IBPS Clerk 2012 Exam

1. Which of the following words can be written in 120 different ways? (IBPS Bank Clerk 2012)
(a) STABLE
(b) STILL
(c) WATER
(d) NOD
(e) DARE

Probability Questions for IBPS Clerk 2012 Answers

1. (c)
(1) The word STABLE has six distinct letters.
∴ Number of arrangements = 6 !
= 6 × 5 × 4 × 3 × 2 × 1 = 720
(2) The word STILL has five letters in which letter ‘L’ comes twice.
∴ Number of arrangements
\(= \frac { 5 ! } { 2 } = 60\)

Probability Questions for IBPS Clerk 2011 Exam

1. In how many different ways can the letters of the word ‘BELIEVE’ be arranged? (IBPS Clerk 2011)
(a) 840
(b) 1680
(c) 2520
(d) 5040
(e) None of these

2. In how many different ways can the letters of the word ‘VIRTUAL’ be arranged among themselves? (IBPS Clerk 2011)
(a) 840
(b) 5040
(c) 2520
(d) 1680
(e) None of these

3. In how many different ways can the letters of the word ‘MARKERS’ be arranged? (IBPS Clerk 2011)
(a) 840
(b) 5040
(c) 2520
(d) 1680
(e) None of these

4. In how many different ways can the letters of the word’ ‘VENTURE’ be arranged? (IBPS Clerk 2011)
(a) 840
(b) 5040
(c) 1260
(d) 2520
(e) None of these

5. In how many different ways can the letters of the word ‘TROUBLE’be arranged? ’ (IBPS Clerk 2011)
(a) 840
(b) 5040
(c) 1260
(d) 2520
(e) None of these

Probability Questions for IBPS Clerk 2011 Answers

1. (a)
The word BELIEVE consists of 7 letters in which E comes thrice.
∴ Required number of arrangements \(= \frac { 7 ! } { 3 ! }\)
\(= \frac { 7 \times 6 \times 5 \times 4 \times 3 \times 2 \times 1 } { 3 \times 2 \times 1 } = 840\)

2. (b)
There are seven letters in the word “VIRTUAL”.
Therefore, number of different ways in which these letters can be arranged
= 7! = 7 × 6 × 5 × 4 × 3 × 2 = 5040

3. (c)
The word “MARKERS” has seven letters, and seven letters can be arranged ! 7 ways.
But the letter ‘R’ appears twice.
∴ The number of possible ways
\(\frac { 7 ! } { 2 ! } = 2520\)

4. (d)
There are 7 letters in the given word VENTURE in which E comes twice.
∴ Total number of ways
\(= \frac { 7 ! } { 2 ! } = 7 \times 6 \times 5 \times 4 \times 3 = 2520\)

5. (b)
Required ways = 7! = 7 × 6 × 5× 3 × 2 × 1 = 5040