Question

sara is packing for a trip. she has 16 pairs of shoes. if she has room to pack 5 pairs, how many ways can she choose which shoes to take

Answer 1

It i given that n = 16, which is the total number of shoes and r = 5.

The number of ways she can choose which shoes to take is determined by combination.

`^nC_r=(n!)/(r!(n-r)!)`

Substitute the values,

`^(16)C_5=(16!)/(5!11!)=(16*15*14*13*12*11!)/(5*4*3*2*1*11!)`

Hence the answer is 4368. The number of ways she