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Chapter 1: Q. 1.17 (page 16)

Seven different gifts are to be distributed among10 children. How many distinct results are possible if no child is to receive more than one gift?

Short Answer

Expert verified

The possible number of distinct results are604,800.

Step by step solution

01

Step 1. Given information.

No. of gifts =7

No. of children =10

No child is to receive more than one gift.

02

Step 2. Find the possible number of distinct results.

No. of children eligible for first gift=10

No. of children eligible for second gift=9

No. of children eligible for third gift=8

No. of children eligible for fourth gift=7

No. of children eligible for fifth gift=6

No. of children eligible for sixth gift=5

No. of children eligible for seventh gift =4

Therefore, the possible number of distinct results are=10脳9脳8脳7脳6脳5脳4=604,800.

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