Let , . The total number of function that are onto and there are exactly three…

MATHEMATICS · Single correct · CBSE · Mathematics · Permutations and Combinations · Permutations and Combinations

Problem

Let

A = \{x_1, x_2, x_3, x_4, x_5, x_6, x_7, x_8\}

B = \{y_1, y_2, y_3, y_4\}

. The total number of function

f : A \rightarrow B

that are onto and there are exactly three elements

x

A

such that

f(x) = y_1

is : (a) 11088 (b) 10920 (c) 13608 (d) None of these