Question

Find the number of ways of giving away
4 similar coins to 5 boys if each boy can be
given any number less than or equal to 4 of
these coins.​

Answer 1

Step-by-step explanation:

Given Find the number of ways of giving away  4 similar coins to 5 boys if each boy can be  given any number less than or equal to 4 of  these coins

• The 4 similar coins can be divided into different number of groups
• 4 coins in one group
• Two groups containing 1, 3 coins respectively
• Two groups containing 2,2 coins respectively
• Two groups containing 3,1 coins respectively
• Three groups  containing 1,1,2 coins  
• Three groups containing 1,2,1 coins  
• Three groups containing 2,1,1 coins
• Four groups containing 1,1,1,1 coins
• Now 5 boys can take away from the above group will be
• = 5C 1 + 2 x 5 C2 + 5C2 + 5C3 x 3! / 2! + 5 C4
• = 5 + 20 + 10 + 30 + 5
• = 70 ways

Reference link will be

https://brainly.in/question/1623977