In a colony, there are 55 members. Every
member posts a greeting card to all the
members. How many greeting cards
were posted by them?
1.990
. 2 890
3.2970
4. 1980
Answers
the answer to your question is 2970
because every one perosn can give greeting cards to other 54 person.
so that means 54( 55 times) × 54 × 55 = 2970.
2970 greeting cards were posted by them all.
2970 greeting cards were posted by 55 members
Given :
- In a colony, there are 55 members.
- Every member posts a greeting card to all the members.
To find :
Number of greeting cards were posted by 55 members
1. 990
2. 890
3. 2970
4. 1980
Solution :
Step 1 of 2 :
Write down total number of members
Here it is given that there are 55 members in the colony
Step 2 of 2 :
Calculate number of greeting cards were posted by 55 members
First we calculate number of choices for each member.
1st member can post greeting card to (55 - 1) = 54 members [ As the person can not post greeting card to himself]
Number of choices for 1st member = 54
2nd member can post greeting card to (55 - 1) = 54 members [ As the person can not post greeting card to himself]
Number of choices for 2nd member = 54
Since every member posts a greeting card to all the members.
So this will continue for each of the 55 members
∴ Number of greeting cards were posted by 55 members
= 55 × 54
= 2970
Hence the correct option is 3. 2970
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