# Five students are selected from 11. How many ways can these students be selected if two specified students are not selected? - Mathematics and Statistics

Sum

Five students are selected from 11. How many ways can these students be selected if two specified students are not selected?

#### Solution

Number of students = 11
Number of students to be selected = 5
Here, 2 specified students are not included.
So, we need to select 5 students from the remaining 9 students.
This can be done in:
= ""^9"C"_5

= (9 xx 8 xx 7 xx 6)/(4 xx 3 xx 2 xx 1)

= 126 ways
Thus, 126 selections can be made such that 2 specified students are not included.

Concept: Combination
Is there an error in this question or solution?

#### APPEARS IN

Balbharati Mathematics and Statistics 2 (Commerce) 11th Standard HSC Maharashtra State Board
Chapter 6 Permutations and Combinations
Exercise 6.7 | Q 15. (b) | Page 90