# | | Question 38

Ram and his wife Sita both have five friends each. Ram has 2 boys and 3 girls. Sita has 3 boys and 2 girls. In how many maximum number of different ways can they invite 2 boys and 2 girls such that two of them are Ram’s friend and two are Sita’s friend?

**(A)** 46 ways

**(B)** 42 ways

**(C)** 40 ways

**(D)** 36 ways

**Answer:** **(A)** **Explanation:** Selection can be done like that

i) 2 boys from Ram’s friends and 2 girls from his wife Sita’s friends OR

ii) 1 boy and 1 girl from Ram’s friends and 1 boy and 1 girl from Sita’s friends OR

iii) 2 boys from his wife Sita’s friends and 2 girls from Ram’s friends

Total number of ways = ^{2}C_{2}.^{2}C_{2} + ^{3}C_{1} x ^{2}C_{1} x ^{3}C_{1} x ^{2}C_{1} + ^{3}C_{2}.^{3}C_{2}

= 1 + 36 + 9

= 46 ways

Quiz of this Question

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