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  • How many different ways are there to send 10 letters to 6 different family members?Option: 1 132600 <div class='qna-opti

How many different ways are there to send 10 letters to 6 different family members?

Option: 1

132600 


Option: 2

151200


Option: 3

142450

 


Option: 4

155450


Answers (1)

best_answer

We have to find the number of permutations of 6 objects out of 10 objects.

This can be done in,

\begin{aligned} &{ }^{10} P_6=\frac{10 !}{(10-6) !}\\\\ &{ }^{10} P_6=\frac{10 !}{4 !}\\\\ &{ }^{10} P_6=\frac{10 \times 9 \times 8 \times 7 \times 6 \times 5 \times 4 \times 3 \times 2}{4 \times 3 \times 2} \end{aligned}

\begin{aligned} &{ }^{10} P_6=151200 \end{aligned}

Therefore, the number of ways in which the letters can be sent is 151200.

Posted by

himanshu.meshram

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