In how many ways can the letters of the word BIHAR be re-arranged?
- AOption (a)
99
- BOption (b)
129
- COption (c)
119
- DOption (d)
125
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Correct answer
119
Why this answer is correct
Given:
BIHAR
Concept used:
n! = n × (n-1) × (n-2) × (n-3) × ….× 3 × 2 × 1
Calculation:
The number of ways in which the word BIHAR can be rearranged = 5!
⇒ 5 × 4 × 3 × 2 × 1
⇒ 120
Since one such arrangement i.e. BIHAR (itself) is given, the number of ways in which the word BIHAR can be rearranged = 120 - 1
⇒ 119
∴ The number of ways in which the word BIHAR can be rearranged is 119.