MHT CET · Maths · Permutation Combination
There are 6 periods in each working day of a school. The number of ways one can arrange 5 subjects such that each is allowed at least one period, is
- A 3600
- B 725
- C 720
- D 5
Answer & Solution
Correct Answer
(A) 3600
Step-by-step Solution
Detailed explanation
First of all we can choose the subject which is to be repeated twice in \({ }^5 C_1\) ways
Now 6 subjects with one repeation can be arranged among 6 periods in \(\frac{6 !}{2 !}\)
Hence, total number of ways \({ }^5 C_1 \times \frac{6 !}{2 !}=1800\)
Now 6 subjects with one repeation can be arranged among 6 periods in \(\frac{6 !}{2 !}\)
Hence, total number of ways \({ }^5 C_1 \times \frac{6 !}{2 !}=1800\)
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