Question

In how many ways can the 7 letters M, N, O, P, Q, R, S be arranged so that P and Q occupy continuous positions?

Answer 1

Answer:

876

Step-by-step explanation:

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Answer 2

There are 1440 ways so that P and Q occupy continuous positions

Step-by-step explanation:

given letters

M,N,O,P,Q,R,S

now ,

The sequence PQ can occupy 6 different positions . The remaining characters can occupy 5! positions

so, for the sequence PQ

there are 6× 5! = 6! arrangements

now, similarly ,

for the  sequence QP  can occupy 6 different positions . The remaining characters can occupy 5! positions

therefore , there are again  6! arrangements

so , The total number of arrangements is 2 × 6! = 1440

hence , There are 1440 ways so that P and Q occupy continuous positions

#Learn more :

In how many ways can the letters of ‘LETTER’ be arranged so that the vowels may occupy only an odd position?

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