exponent of 2 in ⁵⁰P₁₀ is

a. 8

b. 9

c. 12

d. 11

 

There are 5 eligible Punjabi grooms of which 3 know Bengali and 5 eligible Bengali grooms of which 2 know Punjabi. There are 5 eligible Punjabi brides and 5 eligible Bengali brides.If an eligible groom is agreeable to marry a girl of his community or knowing her language and brides have no choice, in how many different ways 10 couples can be formed?

Asit das gupta book, page no. A-171, Quesn no 57

Ans : 144000 

(50! / 40!) = (2⁴⁷  multiplid by some const.)/ ( 2³⁸  multi.some const)

 

            therefore exp of 2 = 47-38 = 9

 

therefore option (b) is correct.