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There are four different letters and four addressed envelopes,

Question

There are four different letters and four addressed envelopes, in how many ways can the letter be put in the envelopes so atleast one letter goes into the correct envelope

15

24

9

None of these

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There are four different letters and four addressed envelopes, in how many ways can the letter be put in the envelopes so atleast one letter goes into the correct envelope

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Text solutionVerified

It is given that at least one of it goes to correct addressed i.e, there is a possibility that either

2

letters or

3

letters or

4

letters goes to correct addressed envelope.

∴

No of ways

1

goes correct

^{4} C_{1} = 4

No of ways

2

goes correct

^{4} C_{2} = 6

No of ways

3

goes correct

^{4} C_{3} = 4

No of ways

4

goes correct

^{4} C_{4} = 1

∴

Total no of ways

4 + 6 + 4 + 1 = 15.

Hence, the answer is

15.

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Question Text	There are four different letters and four addressed envelopes, in how many ways can the letter be put in the envelopes so atleast one letter goes into the correct envelope
Answer Type	Text solution:1
Upvotes	150

There are four different letters and four addressed envelopes, in how many ways can the letter be put in the envelopes so atleast one letter goes into the correct envelope

Text solutionVerified

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