Question

There are 6 letters and 3 post-boxes. The number
of ways in which these letters can be posted is?
3पत्र पेटियों में पत्र कितने प्रकार से डाले जा सकते है?
(c) C
(d)
(a) 6
ग
(b) 36
6P3​

Answer 1

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• There are 6 letters and 3 post boxes .

• Lets consider letter 1 , 2, 3, 4 , 5 , 6 as L - 1 , L - 2, L - 3, L - 4 , L - 5 , L - 6 respectively .

• Also post boxes 1 , 2 , 3 as P - 1 , P - 2 , P- 3 respectively .

• Now L - 1 could be placed in any of P - 1 , P -2 , P - 3 .

• Thus , there are 3 ways to post L - 1.

• Hence , similarly there are 3 × 3 × 3 × 3 × 3 × 3 = 36 ways to post 6 letters in 3 post boxes .

Therefore , 36 is the correct answer .

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