Question

in how many different ways can 4 of 15 laboratory assistants be choosen to assist with an experiment​

Answer 1

Given : 15 laboratory assistants  ,  4 of 15 laboratory assistants be choosen to assist with an experiment​

To Find : Number of Ways

Solution:

Total laboratory assistants = 15

laboratory assistants  to be selected = 4

Number of ways of selecting 4 laboratory assistants to assist with an experiment   ( order of selection does not matter )

= ¹⁵C₄

= 15!/11!.4!

= 15 * 14 * 13 * 12 / ( 4 * 3 * 2 * 1)

= 15 * 7 * 13

= 105 * 13

= 1365

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