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09 Dec 2025, 23:19
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Be sure to select an answer first to save it in the Error Log before revealing the correct answer (OA)!
Difficulty:
25%
(medium)
Question Stats:
77% (01:40) correct
23%
(01:43)
wrong
based on 105
sessions
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Kris is purchasing gear to ride his bike this winter. He wants to buy 2 pairs of gloves, 1 parka, 2 hats, and 3 pairs of boots. If the catalog from which he will order offers 5 types of gloves, 3 different parkas, 4 hats, and 6 pairs of boots, how many different orders could he place?
A. 360
B. 720
C. 3,600
D. 7,200
E. 36,000
A. 360
B. 720
C. 3,600
D. 7,200
E. 36,000
Updated on: 12 Dec 2025, 04:46
Originally posted by ankushsambare on 10 Dec 2025, 02:13.
Last edited by ankushsambare on 12 Dec 2025, 04:46, edited 2 times in total.
Last edited by ankushsambare on 12 Dec 2025, 04:46, edited 2 times in total.
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Kris must choose:
Select 2 gloves from 5 types of gloves = 5C2 = 10
Select 1parkas from 3 different parkas = 3C1 = 3
Select 2 Hats from the collection of 4 hats = 4C2 = 6
Select 3 Boots from the collection of 6 Boots = 6C3 = 20
Number of ways = 10*3*6*20 = 200*18 = 3600
Option C
Select 2 gloves from 5 types of gloves = 5C2 = 10
Select 1parkas from 3 different parkas = 3C1 = 3
Select 2 Hats from the collection of 4 hats = 4C2 = 6
Select 3 Boots from the collection of 6 Boots = 6C3 = 20
Number of ways = 10*3*6*20 = 200*18 = 3600
Option C
10 Dec 2025, 02:31
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can someone elaborate on the pairs and types?
If he wants 3 pairs of boots: isn't it then 6!/3!*3!
Doesn't mean if there are 5 types of gloves, there are 5 choices ?: 5!/2!*3!.
If he wants 3 pairs of boots: isn't it then 6!/3!*3!
Doesn't mean if there are 5 types of gloves, there are 5 choices ?: 5!/2!*3!.
