Question

how many ways are there to divide 50 people into 3 groups so that each group contains members equal to a prime number?

Answer 1

Into groups of 2,7 and 41

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Answer 2

Answer:

Hey Mate,

The Sum of all three Groups is 50

And sum of 3 odd numbers can't be 50.

So, we need one even prime number. and there is only one even prime no. is 2.

So, One Group has 2 people its fix.

Now, we need to distribute 48 people in two even numbers groups.

So, the available combinations of Groups are :

• (2, 5, 43)
• (2, 7, 41)
• (2, 11, 37)
• (2, 17, 31)
• ( 2, 19, 29)