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Maths NCERT Solutions Class 11 - Permutation Class 11 maths: - Example:  A family goes to a studio to have their photo taken, and the photographer must arrange them to get the best shot. Three of them have red shirts, four of them have blue shirts, and two of them have black shirts. How many ways can the photographer arrange the family members? In this example, there are 9 family members total, regardless of shirt color, so the  n  value is 9. In the denominator the 3 family members wearing red would be the  n1  value, the 4 family members wearing blue would be the  n2  value, and the 2 family members wearing black shirts would be the  n3  value. P=9! / 3! *4! *2! In the numerator, 9 factorial is 362,880 in the numerator, and 3! 4! and 5! multiplied together in the denominator equal 288. P = 9! / 3! *4! *2! = 9*8*7*6*5*4*3*2*1/3*2*1*4*3*2*1*2*1. Simplify the fraction by dividing. There are 1,260 ways to arrange the nine family members by shirt color. Exampl